In this research article, the perturbed nonlinear Schrödinger equation (P-NLSE) is examined
by utilizing two analytical methods, namely the extended modified auxiliary equation …

In this work we address a new (3+ 1)-dimensional nonlinear Schrödinger equation
influenced by cubic nonlinearity and spatial dissipations effects. We formally retrieve bright …

In this study, the uses of unified method for finding solutions of a nonlinear Schrödinger
equation that describes the nonlinear spin dynamics of (2+ 1) dimensional Heisenberg …

This work addresses the soliton propagation for a sixth-order (3+ 1)-dimensional nonlinear
Schrödinger equation with fourth-order and sixth-order dispersive terms under the influence …

For exploring the behavior of complex two-dimensional systems, the idea of planar
dynamical systems offers a potent and adaptable framework. It is simple for researchers to …

In this study, the extended sinh-Gordon equation expansion method is used in constructing
various exact solitary wave solutions to the Klein–Gordon–Zakharov equations. The Klein …

This article secures new soliton solutions of the higher-order nonlinear Schrödinger
equation (NLSE) and the nonlinear Kudryashov's equation by means of two analytical …

In this study, the applications of the extended sinh-Gordon equation expansion method to a
nonlinear Schrödinger equation that describes the nonlinear spin dynamics of (2+ 1) …

This study constructs bright and singular optical solitons the (2+ 1 2+ 1)-dimensional NLSE
and the Hirota equation by utilizing the new sine-Gordon expansion method. The parametric …

Abstract The ϕ^ 6 ϕ 6-model expansion method combined with the conformable time-
fractional derivative is applied in this paper for finding many new exact solutions including …