Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

A method is proposed to cool down atoms in a harmonic trap without phase-space
compression as in a perfectly slow adiabatic expansion, ie, keeping the same populations of …

The nonlinear Schrödinger equation (NLSE) is a fundamental and significant physical model
that plays a crucial role in demonstrating the dynamics of optical solitons in the theory optical …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

Using similarity transformations we construct explicit nontrivial solutions of nonlinear
Schrödinger equations with potentials and nonlinearities depending both on time and on the …

The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear
Schrödinger equation with variable coefficients in terms of rational-like functions by using …

Analytical Light Bullet Solutions to the Generalized š3 ž 1Ž-Dimensional Nonlinear
Schrödinger Equation Page 1 Analytical Light Bullet Solutions to the Generalized š3 ž 1Ž-Dimensional …

It is shown that using the similarity transformations, a set of three-dimensional pq nonlinear
Schrödinger (NLS) equations with inhomogeneous coefficients can be reduced to one …

This work deals with soliton solutions of the nonlinear Schrödinger equation with cubic and
quintic nonlinearities. We extend the procedure put forward in a recent paper [J. Belmonte …

Higher-order dispersive and nonlinear effects (alias the perturbation terms) such as third-
order dispersion, self-steepening, and the self-frequency shift play important roles in the …