Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media

Autor:	Alwaleed Kamel, Hanen Yossef Louati, Khaled Aldwoah, Faez Alqarni, Mohammed Almalahi, Manel Hleili
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Chaffee–Infante equation Soliton solution Modified auxiliary equation method Wiener process Stochastic systems Nonlinear equations Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2024, Iss 1, Pp 1-14 (2024)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-024-01930-7
Popis:	Abstract The Chaffee–Infante (CI) equation is a nonlinear equation that may be used to predict the complex dynamics of soliton propagation in a nonlinear optical medium. In this study, we elucidate soliton solutions of the CI equation by stochastic differential equations (SDEs) with the Wiener process. In excess of the modified auxiliary equation (MAE) method, we obtain new exact soliton solutions. By combining stochastic differential equations with the Wiener process, we explain the stochastic processes directing the magnitude of solitons within the basis of the CI equation, providing dynamic views on their behavior. The acquired solitary waves are depicted via 3D and 2D graphs to show their dynamics with and without Brownian motion.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/44d43822e08941f49708479b6c47fa16 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.