This study focuses on the extended (3+ 1)-dimensional Sakovich equation, which is utilized
for the description of nonlinear wave motion and manifests increased dispersion and …

The motive of this research work is to unravel the mysteries of nature through fractional-
order partial differential equations (PDEs). Here, we focus on two important fractional order …

Inspired by the extensive applicability of solitons in nonlinear optics, advanced
telecommunication industry, trans-continental, and trans-oceanic systems, coupled with the …

Nonlinear dynamical problems, characterized by unpredictable and chaotic changes among
variables over time, pose unique challenges in understanding. This paper explores the …

The nonlinear characteristics of Alfvén waves in a plasma medium composed of double
spectral electron distribution and positive and negative ions are investigated. A Korteweg …

In this manuscript, the Landau-Ginzburg-Higgs (LGH) equation is considered as an
investigating model. To extract novel results from the governing equation, the G/(bG+ G+ a) …

This study explores the intrinsic characteristics of the (2+ 1)-dimensional Schwarz-Korteweg-
de Vries equation used to describe shallow water waves. The multiple solitons are …

This manuscript delves into the examination of the stochastic fractional derivative of Drinfel'd-
Sokolov-Wilson equation, a mathematical model applicable in the fields of electromagnetism …

The application of fractional partial differential equations in the area of nonlinear optics has
greatly facilitated the development of optical fiber communication. The primary objective of …

In this article, we apply the generalized exponential rational function method to find soliton
solutions of generalized (3+ 1)-dimensional breaking soliton equation, which describes two …