Ginzburg–Landau models of nonlinear electric transmission networks
E Kengne, WM Liu, LQ English, BA Malomed - Physics Reports, 2022 - Elsevier
Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …
Mathematical theory and numerical methods for Bose-Einstein condensation
In this paper, we mainly review recent results on mathematical theory and numerical
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
Nonlinear quantum interferometry with Bose condensed atoms
In quantum interferometry, it is vital to control and utilize nonlinear interactions for the
achievement of high-precision measurements. Due to their long coherence time and high …
achievement of high-precision measurements. Due to their long coherence time and high …
Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity
All stationary solutions to the one-dimensional nonlinear Schrödinger equation under box
and periodic boundary conditions are presented in analytic form. We consider the case of …
and periodic boundary conditions are presented in analytic form. We consider the case of …
Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates
We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types
in the general (nonintegrable) model of a spinor (three-component) model of the Bose …
in the general (nonintegrable) model of a spinor (three-component) model of the Bose …
Dynamics of dark solitons in quasi-one-dimensional Bose-Einstein condensates
G Huang, J Szeftel, S Zhu - Physical Review A, 2002 - APS
We develop a systematic analytical approach to consider the dynamics of linear and
nonlinear excitations in trapped quasi-one-dimensional Bose-Einstein condensates with …
nonlinear excitations in trapped quasi-one-dimensional Bose-Einstein condensates with …
Quantum tunneling of Bose-Einstein condensates in optical lattices under gravity
WM Liu, WB Fan, WM Zheng, JQ Liang, ST Chui - Physical review letters, 2002 - APS
We investigate the quantum tunneling of Bose-Einstein condensates in optical lattices under
gravity in the “Wannier-Stark localization” regime and “Landau-Zener tunneling” regime. Our …
gravity in the “Wannier-Stark localization” regime and “Landau-Zener tunneling” regime. Our …
The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
E Fan - Physics Letters A, 2011 - Elsevier
Binary Bell polynomials are extended to systematically construct bilinear formalism, bilinear
Bäcklund transformations, Lax pairs with multi-parameters and infinite conservation laws of …
Bäcklund transformations, Lax pairs with multi-parameters and infinite conservation laws of …
Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
O Zobay, BM Garraway - Physical Review A, 2004 - APS
We discuss a method to create two-dimensional (2D) traps as well as atomic shell, or
bubble, states for a Bose-Einstein condensate initially prepared in a conventional magnetic …
bubble, states for a Bose-Einstein condensate initially prepared in a conventional magnetic …
Transformations for a generalized variable-coefficient Korteweg–de Vries model from blood vessels, Bose–Einstein condensates, rods and positons with symbolic …
B Tian, GM Wei, CY Zhang, WR Shan, YT Gao - Physics Letters A, 2006 - Elsevier
The variable-coefficient Korteweg–de Vries (KdV)-typed models, although often hard to be
studied, are of current interest in describing various real situations. Under investigation …
studied, are of current interest in describing various real situations. Under investigation …