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Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems
Discrete nonlinear wave equation the discrete sine Gordon a discrete nonlinear schrodinger equation the periodic oscillation kink
2014/12/29
In this paper we investigate the emergence of time-periodic and time quasiperiodic (sometimes infinitely long-lived and sometimes very long-lived or metastable) solutions of discrete nonlinear wave eq...
Solitary wave interactions in dispersive equations using Manton’s approach
Invariant to calculate solitary wave dispersion equation solitary wave vries equation and nonlinear schrodinger equation
2014/12/29
We generalize the approach first proposed by Manton [Nucl. Phys. B 150, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized...
Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
System stochastic partial differential equations the nonlinear medium heat transfer and energy
2014/12/29
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev spaces of low regular...
Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices
Condensate similar soliton parabolic magnetic trap periodic optical lattice space
2014/12/29
Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatial...
Trapped bright matter-wave solitons in the presence of localized inhomogeneities
Solitary wave dynamics condensate power soliton dynamics
2014/12/25
We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized “impurity” in Bose–Einstein condensates (BECs). We study the generation and stability of a pair...
Dynamical trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment
Similar soliton the scattering length obstacle scattering length dynamics
2014/12/25
We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that a soliton can be confined due to the inhomogeneous collisional interactions...
Dynamics and manipulation of matter-wave solitons in optical superlattices
Similar soliton optical superlattice dynamic superlattice lattice structure
2014/12/25
We study the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) “dynamical superlattices” can b...
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 ...
Dark matter-wave solitons in the dimensionality crossover
Soliton statics dynamics and dimension crossover regime schrodinger mean-field model
2014/12/25
We consider the statics and dynamics of dark matter-wave solitons in the dimensionality crossover regime from three dimensions (3D) to one dimension (1D). There, using the nonpolynomial Schröding...
Asymptotic calculation of discrete non-linear wave interactions
Discrete the dispersion equation klein Gordon
2014/12/25
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [N.S. Manton, Nucl. Phys. B 150 (1979) 397]. We also...
Experimental observation of oscillating and interacting matter wave dark solitons
Oscillation dark soliton well pairs of bose-einstein condensate harmonic trap particle image
2014/12/25
We report on the generation, subsequent oscillation and interaction of a pair of matter-wave dark solitons. These are created by releasing a Bose-Einstein condensate from a double well potential into ...
Matter-wave solitons with a periodic, piecewise-constant scattering length
Scattering collision uneven condensate spatial modulation nonlinear schrodinger equation
2014/12/25
Motivated by recent proposals of “collisionally inhomogeneous” Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of ...
Rabi switch of condensate wave functions in a multicomponent Bose gas
Coupling bose-einstein condensate the wave function the electromagnetic field
2014/12/25
Using a time-dependent linear (Rabi) coupling between the components of a weakly interacting multicomponent Bose-Einstein condensate (BEC), we propose a protocol for transferring the wave function of ...
Emergence of unstable modes in an expanding domain for energy-conserving wave equations
Simulated energy wave equation the nonlinear schrodinger equation the coupling
2014/12/25
Motivated by recent work on instabilities in expanding domains in reaction–diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In particular, we consider a...
Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms
Dynamic soliton atomic scattering length nonlinear dynamic
2014/12/24
We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using th...