The bright and singular solitons of (2+1)-dimensional nonlinear Schrödinger equation with spatio-temporal dispersions

Abstract

The primary goal of this paper is to investigate the bright and singular solitons of (2+1)-dimensional improved nonlinear Schrödinger equation with spatio-temporal dispersions, group-velocity dispersions, and power law nonlinearity. This important goal is achieved by using the Kudryashov method (KM), a complex transformation as well as symbolic computations. As a result, we achieve several constraint conditions that guarantee the existence of soliton solutions. Graphical plots are used to explain the effect of various physical parameters on the solutions. All the results demonstrate the proposed method is stable, reliable, and accurate. © 2021 Elsevier B.V., All rights reserved.