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New Exact Solutions for (3+1)-Dimensional Kadomtsev- Petviashvili Equation and Generalized (2+1)-Dimensional Boussinesq Equation

A new generalized Jacobi elliptic function expansion method is described and used for constructing many exact traveling wave solutions for nonlinear partial differential equations in a unified way. We apply this method to obtain many new Jacobi and Weierstrass double periodic elliptic function solutions and multiple soliton solutions for (3+l)-dimensional Kadomtsev-Petviashvili (KP) equation as well as to the generalized (2+l)-dimensional Boussinesq equation. This new generalized method can be applied to many other equations.