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Application of exp-function method to high-dimensional nonlinear evolution equation. (English) Zbl 1142.35593
Summary: In this paper, the exp-function method is used to obtain generalized solitonary solutions and periodic solutions of the ($3+1$)-dimensional Kadomtsev-Petviashvili equation. It is shown that the exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving high-dimensional nonlinear evolution equations in mathematical physics.
##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 35-04 Machine computation, programs (partial differential equations) 35Q51 Soliton-like equations