期刊
QUAESTIONES MATHEMATICAE
卷 37, 期 2, 页码 199-214出版社
NATL INQUIRY SERVICES CENTRE PTY LTD
DOI: 10.2989/16073606.2013.779969
关键词
Combined sinh-cosh-Gordon equation; Lie group methods; simplest equation method; conservation laws
类别
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.
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