Abstract This paper presents GPELab (Gross–Pitaevskii Equation Laboratory), an advanced
easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics …

GPELab is a free Matlab toolbox for modeling and numerically solving large classes of
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …

The aim of this chapter is first to give an introduction to the derivation of the Gross-Pitaevskii
Equations (GPEs) that arise in the modeling of Bose-Einstein Condensates (BECs). In …

Publisher Summary This chapter provides a description of the present status of theory and
experiment about propagation and interaction of optical solitons in random media. A short …

We study the dynamics of fundamental and vortex solitons in the framework of the nonlinear
Schrödinger equation with the spatial dimension D⩾ 2 with a multiplicative random term …

We prove a representation formula for solutions of Schrödinger equations with potentials
multiplied by a temporal real-valued white noise in the Stratonovich sense. Using this …

The study is devoted to the interpretation and wellposedness of a stochastic NLS model with
a quadratic nonlinearity and a space-time fractional noise. We focus on a rough regime …

We theoretically investigate the optical focusing of a rubidium Bose-Einstein condensate
onto a planar surface. Our analysis uses a Gaussian variational method that includes the …

Nonlinear oscillations of a 3D radial symmetric Bose–Einstein condensate under periodic
variation in time of the atomic scattering length have been studied. The time-dependent …

We study the asymptotic behavior of the solution of a model equation for Bose–Einstein
condensation, in the case where the trapping potential varies randomly in time. The model is …