Purpose: In the last decades, many researchers have performed their best in order to find
the solution of the nonlinear evolution equations, nonlinear partial differential equations …

We consider the mathematical model with arbitrary power of nonlinearity which is described
by the generalized Schrödinger equation. The Cauchy problem for this equation is not …

We introduce optical soliton solutions of the Kundu–Mukherjee–Naskar (KMN) equation by
using the Sardar subequation (SSM) and the new Kudryashov methods (nKM). The KMN …

We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model
(BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential …

Modelling the movement of waves and the propagation of waves is extremely important in
the field of fluid dynamics. All types of waves phenomena are very important in real-life …

The primary objective of this study is to examine the behavior of the nonlinear Kaup-Newell
equation. By employing the modified Kudryashov method and extended tanh function …

The main purpose of this paper is to study the dynamical behaviors and optical solitons in
DWDM networks with Schrödinger–Hirota equation. First of all, the Schrödinger–Hirota …

Purpose: This manuscript addresses to investigate the optical soliton solution of the
Manakov model which governs soliton transmission technology by utilizing the auxiliary …

In this study, solitary wave solutions for the generalized (3+ 1)-dimensional nonlinear wave
equation (NLWE) are extracted using a new generalized exponential rational function …

The integrability of the traveling wave reduction for the Triki–Biswas equation is considered.
Two first integrals for this equation are found. It is shown that the Triki–Biswas equation is …