Work

New Solitary Waves of Stochastic (3 + 1)-dimensional Nonlinear Evolution Equations Under Brownian Motion

Year: 2026

Type: article

Abstract: Analysis of nonlinear evolution equations (EEs) arising in soliton theory stems from their fundamental importance in physics and their many implications deepen our understanding of emergent phenomena and nonlinear dynamics. In this paper, we consider two [Formula: see text]-dimensional nonlinear EEs that have applications in fluid and plasma physics. The main focus of the paper is to apply the modified tanh method (MTM) which is associated with Riccati equation, to the considered nonlinear EEs. Furthermore, the stochastic dynamics are investigated via adding white noise in terms of Weiner process in the both equations. The results are graphically studied in 3D and 2D, to show the deterministic and stochastic dynamics of different solitary waves.

Source: Fractals

DOI: 10.1142/s0218348x26400499

Authors: UROOSA FARYAD, AQSA FARYAD, IBRAHIM ALDAYEL, MERAJ ALI KHAN, ALI AKGÜL

Institutions: Lahore Leads University, Lahore College for Women University, Imam Mohammad ibn Saud Islamic University, Siirt Üniversitesi

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7130645976

FWCI:

Cites: 26

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Related to: 10