In this manuscript, the perturbed Gerdjikov–Ivanov equation is considered for the
investigating model. It is studied to govern the dynamics of soliton propagation through …

In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation
(KP) with a competing dispersion effect. First we examine the integrability of governing …

The aim of this article is to investigate the time fractional coupled nonlinear Schrödinger
equation (TFCNLSE) which can be used to describe the interaction among the modes in …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

Darboux transformation is an efficient method for solving different nonlinear partial
differential equations. In this paper, on the basis of a Lie super-algebras, a generalized …

This study successfully extracts the combined dark-bright and singular optical solitons to the
three-component nonlinear Schrödinger equation by using the extended sinh-Gordon …

This study reveals the dark, bright, mixed dark-bright, singular and mixed singular optical
solitons to the space-time fractional (1+ 1)-dimensional coupled nonlinear Schrödinger …

This study reveals the dark, bright, combined dark–bright, singular optical solitons and other
solutions to the conformable space–time fractional Fokas–Lenells equation. We use two …

In this article, the Resonant nonlinear Schrödinger equation (RNLSE) having anti-cubic
nonlinearity is solved, using the generalized Kudryashov method. Nonlinear Schrödinger …

In this paper, the extended sinh-Gordon equation expansion method (ShGEEM) is applied to
look for new complex hyperbolic and complex trigonometric function solutions, especially …