Purpose: This study has been carried out to examine the stochastic optical soliton solutions
of the nonlinear Schrödinger's equation (NLSE) with Kerr law nonlinearity by multiplicative …

In this paper, we look at the (4+ 1)‐dimensional stochastic Fokas equation (SFE) perturbed
in the Itô sense by white noise. The tanh‐coth method and map** method are used to …

Abstract This paper studies the (1+ 1)-dimensional Kuramoto–Sivashinsky equation (1D-
KSE) also known as canonical evolution equation within the context of flame front …

This work investigates the complex dynamics of the stochastic fractional Kuramoto–
Sivashinsky equation (SFKSE) with conformable fractional derivatives. The research begins …

In this work, we consider the stochastic fractional‐space Kuramoto–Sivashinsky equation
using conformable derivative. The Riccati equation method is used to get the analytical …

Persistence of solitary wave solutions of the regularized long wave equation with small
perturbations are investigated by the geometric singular perturbation theory and bifurcation …

The stochastic dynamical ϕ 4 equation is obtained by adding a multiplicative noise term to
the classical ϕ 4 equation. The noise term represents the random fluctuations that are …

The stochastic Bogoyavlenskii equation with M‐truncated derivatives (SBE‐MTD) is
considered in this article. Our objective in this paper is to find the exact solutions to this …

In this study, we conduct a comprehensive investigation of the novel characteristics of the
(2+ 1)-dimensional stochastic Hirota–Maccari System (SHMS), which is a prominent …

In this study, we consider the stochastic Quantum Zakharov-Kuznetsov equation (SQZKE)
perturbed in the Itô sense by multiplicative Brownian motion. We employ a suitable …