This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed with
multiplicative time noise. The numerical solutions of the governing model are carried out …

In this study, the authors solved the (2+ 1)-dimensional fractional Date-Jimbo-Kashiwara-
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …

In this study, the acoustic nonlinear equation namely the confirmable time-fractional
Westervelt equation is under consideration analytically. This equation is applicable in the …

In this paper, we investigate soliton solutions and other exact solutions of the highly
dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form …

This effort explores the dynamic behavior of solitary wave fronts using the Oskolkov model in
a truncated M-fractional derivative form. This effort has been performed through the …

This study delves into the realm of solitary wave dynamics with pivotal applications in
nonlinear optics. More precisely, the current paper investigates the solitary waves' …

In this study, we consider the stochastic Konno–Oono system to investigate the soliton
solutions under the multiplicative sense. The multiplicative noise is considered firstly in the …

The study of the Kadomtsev–Petviashvili (KP) model is widely used for simulating several
scientific phenomena, including the evolution of water wave surfaces, the processes of …

In physical domains, Beta derivatives are necessary to comprehend wave propagation
across various nonlinear models. In this research work, the modified Sardar sub-equation …

The central objective of this study is to explore the dynamic response of fractional-soliton
solutions within a nonlinear T zitze´ ica–Dodd–Bullough (TDB) equation enhancing the long …