Gaussian spatial soliton solutions of both the constant-coefficient and variable-coefficient
(2+ 1)-dimensional nonlinear Schrödinger equations in quintic–septimal nonlinear materials …

In this paper, we study the cubic-quintic nonlinear Schrödinger equation (CQ-NLSE) to
describe the propagation properties of nonlinear periodic waves (PW) in an optical fiber. We …

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

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 …

The presence of inhomogeneities in an optical nonlinear material may significantly change
the physical features of propagating envelopes. In this paper, we discuss the propagation of …

Conditions for stable propagation of one-dimensional bright spatial solitons in media
exhibiting optical nonlinearities up to the seventh order are investigated. The results show …

In this work, the fractal cubic–quintic Duffing's equation analytical solution is obtained using
the two-scale transform and elliptic functions. Then, the analytical solution is used to study …

We investigate the existence and propagation properties of envelope solitons of an
extended nonlinear Schr ödinger equation with the time-modulated dispersion, quadratic …

We investigate exact nonlinear matter wave functions with odd and even parities in the
framework of quasi-two-dimensional Bose–Einstein condensates (BECs) with spatially …

Vortex solitons in the spatially modulated cubic–quintic nonlinear media are governed by a
(3+ 1)-dimensional cubic–quintic nonlinear Schrödinger equation with spatially modulated …