Lie Symmetries and Conservation Laws of the Generalised Foam-Drainage Equation-Reference-Cited by-同舟云学术

Lie Symmetries and Conservation Laws of the Generalised Foam-Drainage Equation

Published:2017-01-11 Issue:3 Volume:72 Page:261-267
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Zhang Zhi-Yong¹,Ma Kai-Hua²

Affiliation:

1. College of Sciences, North China University of Technology, Beijing 100144, P.R. China , Phone +86 010 88803103

2. College of Sciences, North China University of Technology, Beijing 100144, P.R. China

Abstract

Abstract We perform a complete Lie point symmetry classification of the generalised foam-drainage equation and then construct an optimal system of one-dimensional subalgebra of the admitted symmetry operators and use them to reduce the equations under study. A power series solution of the reduced equation is constructed. Moreover, we find all multipliers of the equations and apply them to construct conservation laws.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2016-0336/pdf

Reference15 articles.

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3. L.V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press, New York 1982.

4. N.H. Ibragimov, Handbook of Lie Group Analysis of Differential Equations, CRC Press, Boca Raton, vol. 1, 1994; vol. 2, 1995; vol. 3, 1996.

5. A.H. Kara and F.M. Mahomed, Nonlinear Dynam. 5, 367 (2006).

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