Dynamics of stochastic nonlinear waves in fractional complex media

IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physics Letters A Pub Date : 2025-03-10 DOI:10.1016/j.physleta.2025.130423
Emmanuel Kengne , Ahmed Lakhssassi
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Abstract

We consider in this work a nonlinear heat equation with cubic nonlinearity (alias real-valued stochastic Ginzburg–Landau equation) with spatiotemporal variable fractional derivatives, which is forced by a multiplicative noise in the Itô sense. Using an appropriate transformation, the model equation is reduced into a second-order nonlinear ordinary differential equation. Applying the method of Riccati equation and combining the ϕ4 expansion method with the method of Weierstrass elliptic function, exact analytical solutions of various types, including cnoidal wave solutions, solitonlike wave solutions, as well as symmetry wave solutions are presented. We show how exact analytical solutions may contribute to a deeper understanding of nonlinear behaviors, spatiotemporal correlations, and stochastic fluctuations in complex media. More precisely, we employ exact solutions to investigate graphically the effects of both fractionality and multiplicative noise on the stochastic nonlinear wave in complex fractional media whose dynamics are described by the equation model under consideration. One of the novelty of our work is that the symmetry exact wave solutions found here have not yet been presented in the context of stochastic nonlinear waves. Our results show that the variable order fractional derivatives can be used for controlling the dynamical properties of the complex systems governed by the model equation under consideration.
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来源期刊
Physics Letters A
Physics Letters A 物理-物理:综合
CiteScore
5.10
自引率
3.80%
发文量
493
审稿时长
30 days
期刊介绍: Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
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