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Radiating solitary waves in coupled Boussinesq equationsFeb 07 2018In this paper we are consider radiating solitary wave solutions of coupled regularised Boussinesq equations. This type of solution consists of a leading solitary wave with a small-amplitude co-propagating oscillatory tail, and emerges from a pure solitary ... More

Catalytic membrane reactor model as a laboratory for pattern emergence in reaction-diffusion-advection mediaFeb 07 2018Reaction-diffusion-advection media on semi-infinite domains are important in chemical, biological and ecological applications, yet remain a challenge for pattern formation theory. To demonstrate the rich emergence of nonlinear traveling waves and stationary ... More

Lieb polariton topological insulatorsFeb 04 2018We predict that the interplay between the spin-orbit coupling, stemming from the TE-TM energy splitting, and the Zeeman effect in semiconductor microcavities supporting exci- ton-polariton quasi-particles results in the appearance of unidirectional linear ... More

Bistable topological insulator with exciton-polaritonsFeb 01 2018Functionality of many nonlinear and quantum optical devices relies on the effect of optical bistability. Using the microcavity exciton-polaritons in a honeycomb arrangement of microcavity pillars, we report the resonance response and bistability of the ... More

Two-dimensional vortex quantum dropletsJan 31 2018It was recently found that the Lee-Huang-Yang (LHY) correction to the mean-field Hamiltonian suppresses the collapse and creates stable localized modes (two-component "quantum droplets", QDs) in two and three dimensions. We construct two-dimensional\ ... More

Quasiperiodic granular chains and Hofstadter butterfliesJan 30 2018We study quasiperiodicity-induced localization of waves in strongly precompressed granular chains. We propose three different setups, inspired by the Aubry--Andr\'e (AA) model, of quasiperiodic chains; and we use these models to compare the effects of ... More

Nonlinear Excitations in Magnetic Lattices with Long-Range InteractionsJan 29 2018We study - experimentally, theoretically, and numerically - nonlinear excitations in lattices of magnets with long-range interactions. We examine breather solutions, which are spatially localized and periodic in time, in a chain with algebraically-decaying ... More

Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric PotentialsJan 25 2018The subject of PT-symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schr\"odinger model with a complex potential that can be tuned controllably away from being PT-symmetric, as it might be the ... More

Electronic Branched Flow in Graphene with Random Potential: Theory and Machine Learning PredictionJan 24 2018We investigate the ultra-relativistic electronic flow in a two-dimensional random potential relevant to charge carrier dynamics in Dirac solids. As an example, the random potential in graphene, the prototypical Dirac solid, arises from inhomogeneous charge ... More

Multi-soliton states under triangular spatial modulation of the quadratic nonlinearityJan 21 2018We introduce multi-soliton sets in the two-dimensional medium with the second-harmonic-generating nonlinearity subject to spatial modulation in the form of a triangle of singular peaks. Various families of symmetric and asymmetric sets are constructed, ... More

Phononic Rogue WavesJan 18 2018We present a theoretical study of extreme events occurring in phononic lattices. In particular, we focus on the formation of rogue or freak waves, which are characterized by their localization in both spatial and temporal domains. We consider two examples. ... More

Threshold of front propagation in neural fields: An interface dynamics approachJan 17 2018Neural field equations model population dynamics of large-scale networks of neurons. Wave propagation in neural fields is often studied by constructing traveling wave solutions in the wave coordinate frame. Nonequilibrium dynamics are more challenging ... More

Three-dimensional chimera patterns in networks of spiking neuron oscillatorsJan 16 2018We study the stable spatiotemporal patterns that arise in a 3D network of neuron oscillators, whose dynamics is described by the Leaky Integrate-and-Fire (LIF) model. More specifically, we investigate the form of the chimera states induced by a 3D coupling ... More

Long-lived quantum vortex knotsJan 15 2018Dynamics of simplest quantum vortex knots of torus type in a superfluid at zero temperature has been simulated within a regularized Biot-Savart law (the torus radii $R_0$ and $r_0$ for initial vortex configuration were large in comparison with a vortex ... More

Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersionJan 15 2018The origin, stability and bifurcation structure of different types of bright localized structures described by the Lugiato-Lefever equation is studied. This mean field model describes the nonlinear dynamics of light circulating in fiber cavities and microresonators. ... More

Turbulent superstructures in Rayleigh-Bénard convectionJan 13 2018Turbulent Rayleigh-B\'enard convection displays a large-scale order in the form of rolls and cells on lengths larger than the layer height once the fluctuations of temperature and velocity are removed. These turbulent superstructures are reminiscent of ... More

Nonlinearity-induced localization in a periodically-driven semi-discrete systemJan 12 2018We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic modulation of the ... More

Protein Pattern FormationJan 04 2018Protein pattern formation is essential for the spatial organization of many intracellular processes like cell division, flagellum positioning, and chemotaxis. A prominent example of intracellular patterns are the oscillatory pole-to-pole oscillations ... More

Dark-dark-soliton dynamics in two density-coupled Bose-Einstein condensatesDec 31 2017We study the 1D dynamics of dark-dark solitons in the miscible regime of two density-coupled Bose-Einstein condensates having repulsive interparticle interactions within each condensate ($g>0$). By using an adiabatic perturbation theory in the parameter ... More

Spectral curves for the rogue wavesDec 26 2017Here we find the spectral curves, corresponding to the known rational or quasi-rational solutions of AKNS hierarchy equations, ultimately connected with the modeling of the rogue waves events in the optical waveguides and in hydrodynamics. We also determine ... More

Bound states in the continuum in a two-dimensional PT-symmetric systemDec 23 2017We address a two-dimensional parity-time (PT)-symmetric structure built as a chain of waveguides, where all waveguides except for the central one are conservative, while the central one is divided into two halves with gain and losses. We show that such ... More

An energy-based stability criterion for solitary traveling waves in Hamiltonian latticesNov 09 2017In this work, we revisit a criterion, originally proposed in [Nonlinearity {\bf 17}, 207 (2004)], for the stability of solitary traveling waves in Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss the implications of this criterion ... More

Solitons in PT-symmetric ladders of optical waveguidesOct 17 2017We consider a PT-symmetric ladder-shaped optical array consisting of a chain of waveguides with gain coupled to a parallel chain of waveguides with loss. All waveguides have the focusing Kerr nonlinearity. The array supports two co-existing solitons, ... More

Superposition solutions to the extended KdV equation for water surface wavesAug 20 2017The KdV equation can be derived in the shallow water limit of the Euler equations. Over the last few decades, this equation has been extended to include higher order effects. Although this equation has only one conservation law, exact periodic and solitonic ... More

Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hoppingAug 15 2017Chimera patterns, characterized by coexisting regions of phase coherence and incoherence, have so far been studied in non-conservative systems with dissipation. Here, we show that the formation of chimera patterns can also be observed in conservative ... More

Symmetry reduction and soliton-like solutions for the generalized Korteweg-de Vries equationJan 30 2017May 14 2017We analyze the gKdV equation, a generalized version of Korteweg-de Vries with an arbitrary function $f(u)$. In general, for a function $f(u)$ the Lie algebra of symmetries of gKdV is the $2$-dimensional Lie algebra of translations of the plane $xt$. This ... More

Bifurcations of relative periodic orbits in NLS/GP with a triple-well potentialDec 06 2016The nonlinear Schr\"odinger/Gross-Pitaevskii (NLS/GP) equation is considered in the presence of three equally-spaced potentials. The problem is reduced to a finite-dimensional Hamiltonian system by a Galerkin truncation. Families of oscillatory orbits ... More

Shock and Rarefaction Waves in Generalized Hertzian Contact ModelsDec 06 2016In the present work motivated by generalized forms of the Hertzian dynamics associated with granular crystals, we consider the possibility of such models to give rise to both shock and rarefaction waves. Depending on the value $p$ of the nonlinearity ... More

Elastic sheets, phase surfaces and pattern universesDec 03 2016We connect the theories of the deformation of elastic surfaces and phase surfaces arising in the description of almost periodic patterns. In particular, we show striking parallels between expansions for the energy of elastic surfaces in powers of the ... More

The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profileDec 01 2016The dynamics of interacting quantized vortex filaments in a rotating trapped Bose-Einstein condensate, which is in the Thomas-Fermi regime at zero temperature and described by the Gross-Pitaevskii equation, is considered in the hydrodynamical "anelastic" ... More

From Solitons to Rogue Waves in Nonlinear Left-Handed MetamaterialsNov 30 2016In the present work, we explore soliton and rogue-like wave solutions in the transmission line analogue of a nonlinear left-handed metamaterial. The nonlinearity is expressed through a voltagedependent and symmetric capacitance motivated by the recently ... More

Delay-Induced Depinning of Localized Structures in a spatially inhomogeneous Swift-Hohenberg ModelNov 30 2016We report on the dynamics of localized structures in an inhomogeneous Swift-Hohenberg model describing pattern formation in the transverse plane of an optical cavity. This real order parameter equation is valid close to the second order critical point ... More

General soliton solutions to a coupled Fokas-Lenells equationNov 30 2016In this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenells ... More

High-accuracy power series solutions with arbitrarily large radius of convergence for fractional nonlinear differential equationsNov 30 2016Fractional nonlinear differential equations present an interplay between two common and important effective descriptions used to simplify high dimensional or more complicated theories: nonlinearity and fractional derivatives. These effective descriptions ... More

Scaling of the minimal step-step distance with the step-bunch size: Theoretical predictions and experimental findings (a mini-review)Nov 30 2016We review the studies on the scaling of the minimal step-step distance lmin in the bunch with the bunch size N, l_min~N^(-{\gamma}). We build our retrospective around the different values of the exponent {\gamma} obtained from models and experiments. ... More

Stability of gap soliton complexes in the nonlinear Schrödinger equation with periodic potential and repulsive nonlinearityNov 28 2016The work is devoted to numerical investigation of stability of stationary localized modes ("gap solitons") for the one-dimentional nonlinear Schr\"odinger equation (NLSE) with periodic potential and repulsive nonlinearity. Two classes of the modes are ... More

Stabilizing effect of tip splitting on the interface motionNov 28 2016Pattern-forming processes, such as electrodeposition, dielectric breakdown or viscous fingering are often driven by instabilities. Accordingly, the resulting growth patterns are usually highly branched, fractal structures. However, in some of the unstable ... More

Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equationsNov 26 2016The novel generalized perturbation (n, M)-fold Darboux transformations (DTs) are reported for the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation and its extension by using the Taylor expansion of the Darboux matrix. The generalized perturbation ... More

Coupled solitons of intense high-frequency and low-frequency waves in Zakharov-type systemsNov 26 2016One-parameter families of exact two-component solitary-wave solutions for interacting high-frequency (HF) and low-frequency (LF) waves are found in the framework of Zakharov-type models, which couple the nonlinear Schr\"odinger equation (NLSE) for intense ... More

Meandering instability of air flow in a granular bed: self-similarity and fluid-solid dualityNov 26 2016Dec 06 2016Meandering instability is familiar to everyone through river meandering or small rivulets of rain flowing down a windshield. However, its physical understanding is still premature, although it could inspire researchers in various fields, such as nonlinear ... More

Meandering instability of air flow in a granular bed: self-similarity and fluid-solid dualityNov 26 2016Meandering instability is familiar to everyone through river meandering or small rivulets of rain flowing down a windshield. However, its physical understanding is still premature, although it could inspire researchers in various fields, such as nonlinear ... More

Pinned-to-sliding transition and structural crossovers for helically confined chargesNov 25 2016We explore the non-equilibrium dissipative dynamics of a system of identical charged particles trapped on a closed helix. The particles are subject to an external force accelerating them along the underlying structure. The effective interactions between ... More

Resonant interaction of $φ^4$ kink with spatially periodic $\mathcal{PT}$-symmetric perturbationNov 24 2016The resonant interaction of the $\phi^4$ kink with a periodic $\mathcal{PT}$-symmetric perturbation is observed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). When ... More

Nonlocal general vector nonlinear Schroedinger equations:Integrability, PT symmetribility, and solutionsNov 23 2016A family of new one-parameter (\epsilon_x=\pm 1) nonlinear wave models (called G_{\epsilon_x}^{(nm)} model) is presented, including both the local (\epsilon_x=1) and new integrable nonlocal $(\epsilon_x=-1)$ general vector nonlinear Schr\"odinger (VNLS) ... More

Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stabilityNov 23 2016An integrable system of two-component nonlinear Ablowitz-Ladik (AL) equations is used to construct complex rogue-wave (RW) solutions in an explicit form. First, the modulational instability of continuous waves is studied in the system. Then, new higher-order ... More

Instability in Reaction-Superdiffusion SystemsNov 23 2016We study the effect of superdiffusion on the instability in reaction-diffusion systems. It is shown that reaction-superdiffusion systems close to a Turing instability are equivalent to a time-dependent Ginzburg-Landau model and the corresponding free ... More

Exact Model Reduction by a Slow-Fast Decomposition of Nonlinear Mechanical SystemsNov 18 2016We derive conditions under which a general nonlinear mechanical system can be exactly reduced to a lower-dimensional model that involves only the most flexible degrees of freedom. This Slow-Fast Decomposition (SFD) enslaves exponentially fast the stiff ... More

Snake instability and the emanating vortex dynamics in two dimensional matter wave dark solitonsNov 18 2016We analyze numerically the formation and the subsequent dynamics of two-dimensional matter wave dark solitons in a Thomas-Fermi rubidium condensate. An initially imprinted sharp phase gradient leads to the dynamical formation of a stationary soliton as ... More

Anomaly in coupled parametric resonanceNov 18 2016We present experimental observations of an anomaly in the coupled response of auto-parametrically excited microelectromechanical beams. When one of the two coupled beams is driven at elevated amplitudes, the excitation of dominant and recessive modes ... More

Observation of mode-locked spatial laser solitonsNov 17 2016A stable nonlinear wave packet, self-localized in all three dimensions, is an intriguing and much sought after object in nonlinear science in general and in nonlinear photonics in particular. We report on the experimental observation of mode-locked spatial ... More

Topological defects with power-law tailsNov 17 2016We study interactions of kinks and antikinks of the $(1+1)$-dimensional $\varphi^8$ model. In this model, there are kinks with mixed tail asymptotics: power-law behavior at one infinity versus exponential decay towards the other. We show that if a kink ... More

Stability Satisfied Numerical Approximates to the Non-analytical Solutions of the Cubic Schrödinger EquationNov 17 2016The time dependent complex Schr\"odinger equation with cubic nonlinearity is solved by constructing differential quadrature algorithm based on sinc functions. Reduction to a coupled system of real equations enables to approach the space derivative terms ... More

Spin breather and rogue formations in a Heisenberg ferromagnetic systemNov 17 2016We construct explicit spin configurations for the breather solution of a one-dimensional Heisenberg ferromagnetic spin system. This corresponds to the breather soliton solution of the gauge equivalent nonlinear Schr\"{o}dinger equation. There are three ... More

Study of plasmonic slot waveguides with a nonlinear metamaterial core: semi-analytical and numerical methodsNov 16 2016Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between two semi-infinite ... More

Study of plasmonic slot waveguides with a nonlinear metamaterial core: semi-analytical and numerical methodsNov 16 2016Nov 26 2016Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between two semi-infinite ... More

Dark-bright soliton interactions beyond the integrable limitNov 15 2016In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study analytically ... More

Dark-bright soliton interactions beyond the integrable limitNov 15 2016Nov 17 2016In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study analytically ... More

Extended and localized Hopf-Turing mixed-mode in non-instantaneous Kerr cavitiesNov 13 2016We investigate the spatio-temporal dynamics of a ring cavity filled with a non-instantaneous Kerr medium and driven by a coherent injected beam. We show the existence of a stable mixed-mode solution that can be either extended or localized in space. The ... More

Nonlinear Dirac equation solitary waves under a spinor force with different componentsNov 13 2016We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar self-interaction in the presence of external forces as well as damping of the form $\gamma^0 f(x,t) - i \mu \gamma^0 \Psi$, where both $f, \{f_j = r_i e^{i K_j x} \}$ and ... More

Multistability in Piecewise Linear Systems by Means of the Eigenspectra Variation and the Round FunctionNov 10 2016A multistable system generated by a Piecewise Linear (PWL) system based on the jerky equation is presented. The systems behaviour is characterised by means of the Nearest Integer or round(x) function to control the switching events and to locate the corresponding ... More

Experimental Evidence of Directivity-Enhancing Mechanisms in Nonlinear LatticesNov 10 2016In this letter, we experimentally investigate the directional characteristics of propagating, finite-amplitude wave packets in lattice materials, with an emphasis on the functionality enhancement due to the nonlinearly-generated higher harmonics. To this ... More

Peak-height formula for higher-order breathers of the nonlinear Schrödinger equation on non-uniform backgroundsNov 08 2016Dec 02 2016Given any background (or seed) solution of the nonlinear Schr\"odinger equation, the Darboux transformation can be used to generate higher-order breathers with much greater peak intensities. The Darboux transformation is generic in iterating a pair of ... More

Peak-height formula for higher-order breathers of the nonlinear Schrödinger equation on non-uniform backgroundsNov 08 2016Given any background (or seed) solution of the nonlinear Schr\"odinger equation, the Darboux transformation can be used to generate higher-order breathers with much greater peak intensities. The Darboux transformation is generic in iterating a pair of ... More

Forecasting Fluid Flows Using the Geometry of TurbulenceNov 07 2016The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics exhibit clear ... More

Nonlinear plasmonic amplification via dissipative soliplasmonsNov 07 2016In this contribution we introduce a new strategy for the compensation of plasmonic losses based on a recently proposed nonlinear mechanism: the resonant interaction between surface plasmon polaritons and spatial solitons propagating in parallel along ... More

Velocity integration in a multilayer neural field model of spatial working memoryNov 07 2016We analyze a multilayer neural field model of spatial working memory, focusing on the impact of interlaminar connectivity, spatial heterogeneity, and velocity inputs. Models of spatial working memory typically employ networks that generate persistent ... More

On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regimeNov 07 2016In this Letter we consider long capillary-gravity waves described by a fully nonlinear weakly dispersive model. First, using the phase space analysis methods we describe all possible types of localized travelling waves. Then, we especially focus on the ... More

Classical squeezing of shock wavesNov 06 2016Shock waves emerge in various fields and trigger effects like rogue waves, super-continuum generation and emission of resonant radiation. Despite shock waves ubiquity, their effect on the coherence properties is barely understood. Among the open problems, ... More

Chimera State in Structured Heterogeneous NetworksNov 02 2016Chimera states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera states we study a heterogeneous network model comprising ... More

Stable Soliton Excitations in Modulational Instability Regime with the Fourth-order EffectsNov 02 2016We study the correspondence between modulational instability and types of fundamental nonlinear excitation in a nonlinear fiber with both third-order and fourth-order effects. Some stable soliton excitations are obtained in modulational instability regime, ... More

Light dynamics in nonlinear trimers ans twisted multicore fibersOct 31 2016Novel photonic structures such as multi-core fibers and graphene based arrays present unique opportunities to manipulate and control the propagation of light. Here we discuss nonlinear dynamics for structures with a few (2 to 6) elements for which linear ... More

Light dynamics in nonlinear trimers and twisted multicore fibersOct 31 2016Nov 02 2016Novel photonic structures such as multi-core fibers and graphene based arrays present unique opportunities to manipulate and control the propagation of light. Here we discuss nonlinear dynamics for structures with a few (2 to 6) elements for which linear ... More

Langmuir wave filamentation in the kinetic regime. II. Weak and Strong Pumping of Nonlinear Electron Plasma Waves as the Route to FilamentationOct 31 2016We consider two kinds of pumped Langmuir waves (LWs) in the kinetic regime, $k\lambda_D\gtrsim0.2,$ where $k$ is the LW wavenumber and $\lambda_D$ is the Debye length. They are driven to finite amplitude by a coherent external potential whose amplitude ... More

Rogue wave and a pair of resonance stripe solitons to a reduced generalized (3+1)-dimensional KP equationOct 29 2016Based on the bilinear operator and symbol calculation, some lump solutions are presented, rationally localized in all directions in the space, to a reduced (3+1)-dimensional KP equation. The lump solutions all contain six parameters, four of which must ... More

Chimeras in Leaky Integrate-and-Fire Neural Networks: Effects of Reflecting ConnectivitiesOct 28 2016The effects of nonlocal and reflecting connectivity are investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. Earlier investigations have demonstrated that non-local and hierarchical ... More

The role of viscosity contrast on plume structure in laboratory modeling of mantle convectionOct 28 2016We have conducted laboratory experiments to model important aspects of plumes in mantle convection. We focus on the role of the viscosity ratio U (between the ambient fluid and the plume fluid) in determining the plume structure and dynamics. In our experiments, ... More

Some exact solutions of the local induction equation for motion of a vortex in a Bose-Einstein condensate with Gaussian density profileOct 28 2016The dynamics of a vortex filament in a trapped Bose-Einstein condensate is considered when the equilibrium density of the condensate, in rotating with angular velocity ${\bf\Omega}$ coordinate system, is Gaussian with a quadratic form ${\bf r}\cdot\hat ... More

Generative complexity of Gray-Scott modelOct 28 2016In the Gray-Scott reaction-diffusion system one reactant is constantly fed in the system, another reactant is reproduced by consuming the supplied reactant and also converted to an inert product. The rate of feeding one reactant in the system and the ... More

Mathematical Physics Properties of Waves on Finite BackgroundOct 28 2016Several mathematical and physical aspects of waves on finite background are reported in this article. The evolution of the complex wave packet envelope of these type of waves is governed by the focussing-type of the nonlinear Schr\"{o}dinger (NLS) equation. ... More

Exotic domain walls in Bose-Einstein condensates with double-well dispersionOct 27 2016We study the domain walls which form when Bose condensates acquire a double-well dispersion. Experiments have observed such domain walls in condensates driven across a $\mathbb{Z}_2$ symmetry-breaking phase transition in a shaken optical lattice. We derive ... More

Traveling Solitons in Long-Range Oscillator ChainsOct 26 2016We investigate the existence and propagation of solitons in a long-range extension of the quartic Fermi-Pasta-Ulam (FPU) chain of anharmonic oscillators. The coupling in the linear term decays as a power-law with an exponent greater than 1 and less than ... More

Collisions of three-dimensional bipolar optical solitons in an array of carbon nanotubesOct 26 2016We study interactions of extremely short three-dimensional bipolar electromagnetic pulses propagating towards each other in an array of semiconductor carbon nanotubes, along any direction perpendicular to their axes. The analysis provides a full account ... More

Collisions of three-dimensional bipolar optical solitons in an array of carbon nanotubesOct 26 2016Nov 15 2016We study interactions of extremely short three-dimensional bipolar electromagnetic pulses propagating towards each other in an array of semiconductor carbon nanotubes, along any direction perpendicular to their axes. The analysis provides a full account ... More

Matter-Wave Fields for Double-Slit Atom Interferometry: Variational Versus Exact SolitonsOct 25 2016A major challenge in the theoretical modeling of double-slit interferometry involving matter-wave fields is the appropriate waveform to be assigned to this field. While all the studies carried out to date on this issue deal with variational fields, experiments ... More

Master stability functions reveal diffusion-driven instabilities in multi-layer networksOct 24 2016Many systems in science and technology can be described as multilayer networks, which are known to exhibit phenomena such as catastrophic failure cascades and pattern-forming instabilities. A particular class of multilayer networks describes systems where ... More

Depinning asymptotics in ergodic mediaOct 22 2016We study speeds of fronts in bistable, spatially inhomogeneous media at parameter regimes where speeds approach zero. We provide a set of conceptual assumptions under which we can prove power-law asymptotics for the speed, with exponent depending a local ... More

Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphsOct 21 2016We study the dynamics of the Fisher-KPP equation on the infinite homogeneous tree and Erd\H{o}s-R\'eyni random graphs. We assume initial data that is zero everywhere except at a single node. For the case of the homogeneous tree, the solution will either ... More

Chimera states in a network-organized public goods game with destructive agentsOct 20 2016Oct 31 2016We found that a network-organized metapopulation of cooperators, defectors and destructive agents playing the public goods game with mutations, can collectively reach global synchronization or chimera states. Global synchronization is accompanied by a ... More

Chimera states in a network-organized public goods game with mutationsOct 20 2016We show that a network-organized metapopulation of cooperators, defectors and destructors playing the public goods game with mutations, can collectively reach global synchronization or chimera states. Global synchronization is accompanied by a collective ... More

Langmuir wave filamentation in the kinetic regime. I. Transverse instability of Bernstein-Greene-Kruskal modes and multidimensional Vlasov simulationsOct 19 2016Oct 31 2016Nonlinear Langmuir wave in the kinetic regime $k\lambda_D\gtrsim0.2$ has a transverse instability, where $k$ is the wavenumber and $\lambda_D$ is the Debye length. The nonlinear stage of that instability develops into the filamentation of Langmuir waves ... More

Langmuir wave filamentation in the kinetic regimeOct 19 2016Nonlinear Langmuir wave in the kinetic regime $k\lambda_D\gtrsim0.2$ has a transverse instability, where $k$ is the wavenumber and $\lambda_D$ is the Debye length. The nonlinear stage of that instability development leads to the filamentation of Langmuir ... More

Generation of ultra broadband supercontinuum in dispersion managed silicon nanophotonic waveguidesOct 18 2016Dispersion managed (DM) silicon nanophotonic waveguides are investigated for the generation of optimal ultra broadband supercontinuum (SC). DM waveguides are made of a longitudinally dependent group velocity dispersion resulting from the variation of ... More

OpenMP, OpenMP/MPI, and CUDA/MPI C programs for solving the time-dependent dipolar Gross-Pitaevskii equationOct 17 2016We present new versions of the previously published C and CUDA programs for solving the dipolar Gross-Pitaevskii equation in one, two, and three spatial dimensions, which calculate stationary and non-stationary solutions by propagation in imaginary or ... More

Two-dimensional lattice solitons in polariton condensates with spin-orbit couplingOct 17 2016We study two-dimensional fundamental and vortex solitons in polariton condensates with spin-orbit coupling and Zeeman splitting evolving in square arrays of microcavity pillars. Due to repulsive excitonic nonlinearity such states are encountered in finite ... More

Surfactant and gravity dependent instability of two-layer Couette flows and its nonlinear saturationOct 16 2016A horizontal flow of two immiscible fluid layers with different densities, viscosities and thicknesses, subject to vertical gravitational forces and with an insoluble surfactant present at the interface, is investigated. The base Couette flow is driven ... More

Delayed collapses of BECs in relation to AdS gravityOct 16 2016We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity in a harmonic potential. Even below threshold for direct collapse, the wave function bounces off from the origin and may eventually ... More

Delayed collapses of BECs in relation to AdS gravityOct 16 2016Nov 04 2016We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity in a harmonic potential. Even below threshold for direct collapse, the wave function bounces off from the origin and may eventually ... More

On the effect of a two-rocks boundary on the propagation of nonlinear transients of temperature and pressure in deformable porous rocksOct 16 2016We here analyze the propagation of transients of fluid-rock temperature and pressure through a thin boundary layer, where a steady trend is present, between two adjacent homogeneous rocks. We focus on the effect of convection on transients crossing such ... More

Envelope time reversal of optical pulses following frequency conversion with accelerating quasi-phase-matchingOct 13 2016It is shown theoretically that the use of accelerating spatiotemporal quasi-phase-matching (QPM) modulation patterns in media with parametric optical interactions makes it possible to generate a time-reversed replica of the pump pulse envelope in a frequency ... More

Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theoryOct 13 2016This paper shows a new approach to obtain analytical topological defects for a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which are non-trivial to be ... More