Exact Travelling Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation
Y.-Z. Peng and E.V. Krishnan
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China
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Received: 29 12 2004;
Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.
DOI: 10.12693/APhysPolA.108.421
PACS numbers:02.30.Jr