New similarity solutions for the generalized variable-coefficients KdV equation by using symmetry group method

Autor:	Rehab M. El-Shiekh
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Symmetry group method generalized variable-coefficients KdV equation tanh-function method Science
Zdroj:	Arab Journal of Basic and Applied Sciences, Vol 25, Iss 2, Pp 66-70 (2018)
Druh dokumentu:	article
ISSN:	2576-5299 25765299
DOI:	10.1080/25765299.2018.1449343
Popis:	In this paper, a generalized variable-coefficients KdV equation (gvcKdV) arising in fluid mechanics, plasma physics and ocean dynamics is investigated by using symmetry group analysis. Two basic generators are determined, and for every generator, the admissible forms of the variable coefficients and the corresponding reduced ordinary differential equations are obtained. Finally, by searching for solutions to those reduced ordinary differential equations, many new exact solutions for the gvcKdV equation have been found.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/23c4b2f2ab654c5f845e65869fb87a88 Zobrazit plný text záznamu View record in DOAJ