Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

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 …

Abstract This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended
trial function method to recover optical soliton solutions in (2+ 1)–dimensions. The …

By the means of reconstructing the Darboux transformation to the Manakov system, we
obtain the new explicit solutions composed of a rogue wave and a breather for the system …

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 …

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 …

The past two decades have witnessed an increasing interest in both theoretical and
experimental studies of shape-preserving localized structures of light, which overcome …

Abstract A (2+ 1)-dimensional N-coupled nonlinear Schrödinger equation with spatially
modulated cubic–quintic nonlinearity and transverse modulation is studied, and vector …

Recent theoretical and experimental results show that one-dimensional (1D) weakly
interacting atomic Bose-Bose mixtures with repulsive interspecies mean field (MF) …

Using symmetry analysis we systematically present a higher-dimensional similarity
transformation reducing the (3+ 1)-dimensional inhomogeneous nonlinear Schrödinger …