Application of Exp-function method to high-dimensional nonlinear evolution equation

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. (C) 2006 Elsevier Ltd. All rights reserved.