2005•Acta Physica Polonica AOpen access

Exact Travelling Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation

Y.Z. Peng, E. V. Krishnan

Abstract

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.

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Key concepts: Kadomtsev–Petviashvili equation, Traveling wave, Physics, Mathematical physics, Mathematical analysis, Mathematics, Nonlinear system, Burgers' equation