New exact solutions and conservation laws of a coupled Kadomtsev–Petviashvili system

Abstract 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.

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