Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation
2018 ◽
Vol 3
(1)
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pp. 241-254
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Keyword(s):
De Vries
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AbstractIn this paper we study a (2+1)-dimensional coupling system with the Korteweg-de Vries equation, which is associated with non-semisimple matrix Lie algebras. Its Lax-pair and bi-Hamiltonian formulation were obtained and presented in the literature. We utilize Lie symmetry analysis along with the (G′/G)–expansion method to obtain travelling wave solutions of this system. Furthermore, conservation laws are constructed using the multiplier method.