The 2D regularized long-wave equation is a mathematical model used to describe the
behavior of water waves in two dimensions, taking into account nonlinear and dispersive …

In this research, we study traveling wave solutions to the fractional extended nonlinear
SchrÖdinger equation (NLSE), and the effects of the third-order dispersion parameter. This …

In this paper, the main motive is to mathematical explore the Kuralay equation, which find
applications in various fields such as ferromagnetic materials, nonlinear optics, and optical …

This study investigates novel solutions to the fractional Caudrey–Dodd–Gibbon (FCDG)
equation, which is a nonlinear partial differential equation that models shallow water waves …

This study presents recent advancements in computational techniques for discovering new
and precise solitary wave solutions in the (1+ 1)-dimensional Mikhailov-Novikov-Wang …

This research aims to conduct a comprehensive qualitative and quantitative analysis of
Kudryashov's equation with third-order dispersion. Initially, the equation is converted into a …

The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

This paper analyzes the coupled nonlinear (2+ 1)-dimensional complex modified Korteweg-
de-Vries (cmKdV) equation, which appears in the fields of applied magnetism and …

This study presents analytical and numerical solutions of a simplified third-order generalized
nonlinear Schrödinger equation (GNLSE) to demonstrate how ultrashort pulses behave in …

Many mathematicians and physicists are interested in Bogoyavlensky–Konopelchenko type
equations to illustrate the various dynamics of nonlinear wave phenomena in the fields of …