Exact Solutions of the Two-Dimensional Cattaneo Model Using Lie Symmetry Transformations

Autor:	Khudija Bibi, Khalil Ahmad
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Mathematics QA1-939
Zdroj:	Discrete Dynamics in Nature and Society, Vol 2021 (2021)
Druh dokumentu:	article
ISSN:	1026-0226 1607-887X
DOI:	10.1155/2021/6629074
Popis:	In this article, symmetry technique is utilized to obtain new exact solutions of the Cattaneo equation. The infinitesimal symmetries, linear combinations of these symmetries, and corresponding similarity variables are determined, which lead to many exact solutions of the considered equation. By applying similarity transformations, the mentioned partial differential equation is reduced to some ordinary differential equations of second order. Solutions of these ordinary differential equations have yielded many exact solutions of the Cattaneo equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/37ab462c5bf2437199a34ec811a8b915 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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