Journal
COMPUTERS & FLUIDS
Volume 81, Issue -, Pages 10-16Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2013.04.005
Keywords
Coupled Kadomtsev-Petviashvili system; Lie symmetry method; (G '/G)-expansion method; Travelling waves; Conservation laws; Multiplier method
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This paper obtains exact solutions of a new coupled Kadomtsev-Petviashvili system, which arises in the analysis of various problems in fluid mechanics, theoretical physics and many scientific applications. Lie symmetry method along with the (G'/G)-expansion method is employed to find the travelling wave solutions of the underlying system. In addition, we derive the conservation laws of the coupled Kadomtsev-Petviashvili system using the multiplier method. (C) 2013 Elsevier Ltd. All rights reserved.
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