This manuscript delves into a comprehensive investigation of significant exact solutions
pertaining to the extended modified Vakhnenko-Parkes equation (emVPE), with a focus on …

This article pays attention to secure the exact wave structures to the system of ion sound
under influence of ponderomotive force. It is caused by non-linear force and is experienced …

This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation
(eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers …

KdV equations have a lot of applications of in fluid mechanics. The exact solutions of the
KdV equations play a vital role in the wave dynamics of fluids. In this paper, some new exact …

Exact solutions of nonlinear equations have got formidable attraction of researchers
because these solutions demonstrate the physical behaviour of a model. In this paper, we …

The intent of this work to implement first-integral method to study traveling wave solutions of
some space-time nonlinear fractional differential equations (FDEs) and present their …

In this study, the generalized perturbed-KdV partial differential equation is examined.
Furthermore, symmetry generators address the Lie invariance criteria. The suggested …

The investigation of optical solitons, a subject of significant interest in fibre optics and
communications due to its importance in signal transmission and data processing, is the …

In this study, using the Kudryashov R function method and the generalized Kudryashov
method, the (1+ 1)-dimensional resonant nonlinear Schrödinger equation with dual-power …

The purpose of the paper is to uncover more advanced soliton solutions for the three-
component Sawada–Kotera (SK)-like equation. The Hirota bilinear (HB) method is exploited …