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A Generalized F-expansion Method and Its Application in High-Dimensional Nonlinear Evolution Equation
Authors:CHEN  Jiang  HE  Hong-Sheng  YANG  Kong-Qing
Affiliation:1. Department of Physics, Lanzhou University, Lanzhou 730000, China;2. Institute of Applied Physics, Jimei University, Xiamen 361021, China
Abstract:A generalized F-expansion method is introduced and applied to (3+1)-dimensional Kadomstev-Petviashvili (KP) equation. As a result, some new Jacobi elliptic function solutions of theequation are found, from which the trigonometric functionsolutions and the solitary wave solutions can be obtained. Themethod can also be extended to other types of nonlinear evolutionequations in mathematical physics.
Keywords:F-expansion method   Jacobi elliptic function   KP equation   solitary wave solution   trigonometric function solution
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