The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations
model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features …

This study critically examines the nonlinear Lonngren wave model, a mathematical
representation used to describe waves in shallow water environments such as beaches …

This article negotiates the investigation of optical stochastic solitons and other exact
stochastic solutions with the fractional stochastic Biswas–Arshed equation (FSBAE) …

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

In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …

This innovative study simulates the (4+ 1)-dimensional Davey–Stewartson–Kadomtsev–
Petviashvili (DSKP) equation, which has anomalous applications in the field of mathematical …

This work scrutinizes the well-known nonlinear non-classical Sobolev-type wave model
which addresses the fluid flow via fractured rock, thermodynamics and many other fields of …

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 …

In this paper, the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law in
nonlinear optics, which simulates soliton propagation in various waveguides in the presence …