In this paper, we apply stochastic differential equations with the Wiener process to
investigate the soliton solutions of the Chaffee–Infante (CI) equation. The CI equation, a …

Water wave development, soliton dynamics and electromagnetic field propagation are just a
few phenomena that are studied using the (3+ 1)-dimensional nonlinear hyperbolic …

Abstract The Zabolotskaya-Khokhlov model (ZKm) is a widely used nonlinear model in the
fields of sound, ultrasound, and shock waves. The aims of this paper stems from its …

This paper presents a comprehensive study of a model called the (2+ 1) q-deformed tanh-
Gordon model. This model is particularly useful for studying physical systems with violated …

This study presents the application of the ϕ 6 model expansion technique to find exact
solutions for the (3+ 1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov …

This study explores the stochastic Benjamin-Bona-Mahony (BBM) equation with a beta
derivative (BD), thereby incorporating multiplicative noise in the Itô sense. We derive various …

Bifurcation, chaos, and soliton are critical phenomena in nonlinear dynamical systems,
enhancing our understanding of complex physical processes. In this work, we explore these …

In this paper, we established some sufficient conditions for the boundedness of the Hardy–
Littlewood maximal operators and the Hausdorff operators on p-adic Herz spaces and p …

This work considers a stochastic form of an extended version of the Kairat-II equation by
adding Browning motion into the deterministic equation. Two analytical approaches are …

In this paper, the Jacobi elliptic function expansion technique is used to obtain the exact
solutions of the sixth order (3+ 1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera …