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Multitype Branching Brownian Motion and Traveling Waves
Multitype branching Brownian motion Spine approach Ad- ditive martingale Traveling wave solution
2016/1/25
This article studies the parabolic system of equations which is closely related to multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this sy...
Multitype Branching Brownian Motion and Traveling Waves
Multitype branching Brownian motion Spine approach Ad- ditive martingale Traveling wave solution
2016/1/20
This article studies the parabolic system of equations which is closely related to multitype branching Brownian motion. Particular attention is paid to the monotone traveling wave solutions of this sy...
Families of matter-waves in two-component Bose-Einstein condensates
Family solutions bicomponent nonlinear schrodinger equation linear stability condensate
2014/12/29
We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one...
Resonant and non-resonant modulated amplitude waves for binary Bose–Einstein condensates in optical lattices
System the potential coupling nonlinear linear bose-einstein condensate the resonant electromagnetic fields
2014/12/29
We consider a system of two Gross–Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose–Einstein con...
Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice
Models three-dimensional space discrete nonlinear schrodinger equation the discrete vortex solitons whirlpool
2014/12/29
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stabilit...
Linearly coupled Bose-Einstein condensates: From Rabi oscillations and quasiperiodic solutions to oscillating domain walls and spiral waves
Unitary transformation the coupled nonlinear schrodinger equation linear field coupling linear coupling is absent the condensate
2014/12/29
In this paper, an exact unitary transformation is examined that allows for the construction of solutions of coupled nonlinear Schrödinger equations with additional linear field coupling, from sol...
Radiationless Traveling Waves in Saturable Nonlinear Schrödinger Lattices
Discrete solitary wave the nonlinear schrodinger crystals coupling
2014/12/25
The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand...
Solitary waves in discrete media with four-wave mixing
Vector discrete model nonlinear coupling transverse electric field the transverse magnetic and linear polarization
2014/12/25
In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear intercomponent coupling and four wave mixing. The relevant four branches of ...
Stability of waves in multi-component DNLS system
System Evans function method discrete equations vector system Evans function
2014/12/25
In this work, we systematically generalize the Evans function methodology to address vector systems of discrete equations. We physically motivate and mathematically use as our case example a vector fo...
Solitary waves under the competition of linear and nonlinear periodic potentials
The linear and nonlinear lattice bright solitons dynamics
2014/12/25
In this paper, we study the competition of the linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framewo...
Modulated amplitude waves in collisionally inhomogeneous Bose–Einstein condensates
D bose-einstein condensate the space is cyclical nonlinear coefficient the periodic function x
2014/12/25
We investigate the dynamics of an effectively one-dimensional Bose–Einstein condensate (BEC) with scattering length a subjected to a spatially periodic modulation, a=a(x)=a(x+L). This “collisionally i...
Faraday waves in Bose-Einstein condensates
Condensate and gas dynamics periodic the parameter resonance
2014/12/25
Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic mod...
X, Y, and Z waves: Extended structures in nonlinear lattices
Waveform the two-dimensional nonlinear structure lattice soliton condensate
2014/12/25
We propose a new type of waveforms in two-dimensional (2D) and three-dimensional (3D) discrete media-multilegged extended nonlinear structures (ENSs), built as arrays of lattice solitons (tiles and st...
Highly nonlinear solitary waves in periodic dimer granular chains
Nonlinear solitary wave the numerical simulation the heavy particles Hertz
2014/12/25
We investigate the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and theoretical analysis. We examine periodic arra...
Dynamical barrier for the formation of solitary waves in discrete lattices
Dynamic obstacle grid the localization model nonlinear schrodinger lattice dynamic obstacles
2014/12/25
We consider the problem of the existence of a dynamical barrier of “mass” that needs to be excited on a lattice site to lead to the formation and subsequent persistence of localized modes for a nonlin...