Solitons in nonlinear lattices
This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …
Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
This review paper presents an overview of the theoretical and experimental progress on the
study of matter-wave dark solitons in atomic Bose–Einstein condensates. Upon introducing …
study of matter-wave dark solitons in atomic Bose–Einstein condensates. Upon introducing …
[كتاب][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings
PG Kevrekidis, DJ Frantzeskakis… - 2015 - SIAM
The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
Bose-Einstein condensation: Twenty years after
The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Using Lie group theory and canonical transformations, we construct explicit solutions of
nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. We present …
nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. We present …
Localized nonlinear waves in systems with time-and space-modulated nonlinearities
Using similarity transformations we construct explicit nontrivial solutions of nonlinear
Schrödinger equations with potentials and nonlinearities depending both on time and on the …
Schrödinger equations with potentials and nonlinearities depending both on time and on the …
Solitons in combined linear and nonlinear lattice potentials
We study ordinary solitons and gap solitons (GS's) in the framework of the one-dimensional
Gross-Pitaevskii equation (GPE) with a combination of both linear and nonlinear lattice …
Gross-Pitaevskii equation (GPE) with a combination of both linear and nonlinear lattice …
Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity
We investigate the localized nonlinear matter waves of the quasi-two-dimensional Bose-
Einstein condensates with spatially modulated nonlinearity in the harmonic potential. It is …
Einstein condensates with spatially modulated nonlinearity in the harmonic potential. It is …
Dynamics of bright matter wave solitons in a Bose–Einstein condensate
Recent experimental and theoretical advances in the creation and description of bright
matter wave solitons are reviewed. Several aspects are taken into account, including the …
matter wave solitons are reviewed. Several aspects are taken into account, including the …
One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential
Competing nonlinearities, such as the cubic (Kerr) and quintic nonlinear terms whose
strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in various …
strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in various …