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Multidimensional solitons in a low-dimensional periodic potential
B. B. Baizakov, B. A. Malomed, M. Salerno
Using the variational approximation(VA) and direct simulations, we find stable 2D and 3D solitons in the self-attractive Gross-Pitaevskii equation (GPE) with a potential which is u…
Creation of classical and quantum fluxons by a current dipole in a long Josephson junction
Boris Malomed, Alexey Ustinov
We study static and dynamical properties of fluxons in a long annular Josephson junction (JJ) with a current injected at one point and collected back at a close point. Uniformly di…
Antisymmetric solitons and their interactions in strongly dispersion-managed fiber-optic systems
Bao-Feng Feng, Boris A. Malomed
By means of the variational approximation (VA), a system of ordinary differential equations (ODEs) is derived to describe the propagation of antisymmetric solitons in a multi-chann…
Solitons in a system of three linearly coupled fiber gratings
Arthur Gubeskys, Boris A. Malomed
We introduce a model of three parallel-coupled nonlinear waveguiding cores equipped with Bragg gratings (BGs), which form an equilateral triangle. The objective of the work is to i…
Dynamics of laser-induced lattice formation in Bose-Einstein condensates
M. Kalinski, I. E. Mazets, G. Kurizki +3
We present variational and numerical solutions of the generalized Gross--Pitaevskii equation for an atomic Bose--Einstein condensate with time-dependent, laser-induced dipole-dipol…
Two-soliton collisions in a near-integrable lattice system
S. V. Dmitriev, P. G. Kevrekidis, B. A. Malomed +1
We examine collisions between identical solitons in a weakly perturbed Ablowitz-Ladik (AL) model, augmented by either onsite cubic nonlinearity (which corresponds to the Salerno mo…