| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 762052 | Computers & Fluids | 2013 | 7 Pages |
•Exact solutions of a new coupled Kadomtsev–Petviashvili system are obtained.•Lie symmetry method and the (G′/GG′/G)-expansion methods are employed.•Travelling wave solutions of the underlying system are obtained.•We also derive the conservation laws of the coupled Kadomtsev–Petviashvili system.
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)(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.
