Combined sinh-cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws

In this paper we study the combined sinh-cosh-Gordon equation, which arises in mathematical physics and has a wide range of scientific applications that range from chemical reactions to water surface gravity waves. We employ Lie symmetry analysis along with the simplest equation method to obtain exa...

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Bibliographic Details
Published in:	Quaestiones mathematicae Vol. 37; no. 2; pp. 199 - 214
Main Authors:	Khalique, C.M., Magalakwe, G.
Format:	Journal Article
Language:	English
Published:	Grahamstown Taylor & Francis 01-01-2014 Taylor & Francis Ltd
Subjects:	Combined sinh-cosh-Gordon equation Conservation laws Lie group methods Lie groups simplest equation method Symmetry
Online Access:	Get full text
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Summary:	In this paper we study the combined sinh-cosh-Gordon equation, which arises in mathematical physics and has a wide range of scientific applications that range from chemical reactions to water surface gravity waves. We employ Lie symmetry analysis along with the simplest equation method to obtain exact solutions based on the optimal systems of one-dimensional subalgebras for the combined sinh-cosh-Gordon equation. Furthermore, conservation laws for the combined sinh-cosh-Gordon equation are derived by employing two different methods; the direct method and new conservation theorem.
ISSN:	1607-3606 1727-933X
DOI:	10.2989/16073606.2013.779969