Approximation of the soliton solution for the generalized Vakhnenko equation  

作　　者：莫嘉琪 

机构地区：[1]Department of Mathematics,Anhui Normal University [2]Division of Computational Science,E-Institutes of Shanghai Universities at Shanghai Jiaotong University

出　　处：《Chinese Physics B》2009年第11期4608-4612,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 40676016 and 40876010);the Key Innovation Project of the Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund, China, and in part by E-Institutes of Shanghai Municipal Education Commission, China (Grant No E03004)

摘　　要：A class of generalized Vakhnemko equation is considered. First, we solve the nonlinear differential equation by the homotopic mapping method. Then, an approximate soliton solution for the original generalized Vakhnemko equation is obtained. By this method an arbitrary order approximation can be easily obtained and, similarly, approximate soliton solutions of other nonlinear equations can be acquired.A class of generalized Vakhnemko equation is considered. First, we solve the nonlinear differential equation by the homotopic mapping method. Then, an approximate soliton solution for the original generalized Vakhnemko equation is obtained. By this method an arbitrary order approximation can be easily obtained and, similarly, approximate soliton solutions of other nonlinear equations can be acquired.

关 键 词：homotopic mapping SOLITON Vakhnemko equation 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]