The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation  

作　　者：莫嘉琪 林苏榕 

机构地区：[1]Department of Mathematics,Anhui Normal University [2]Department of Mathematics,Huzhou Teachers College [3]Division of Computational Science,E-Institutes of Shanghai Universities at SJTU [4]Department of Computer,Fujian Radio and TV University

出　　处：《Chinese Physics B》2009年第9期3628-3631,共4页中国物理B（英文版）

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

摘　　要：This paper studies a generalized nonlinear evolution equation. Using the homotopic mapping method, it constructs a corresponding homotopic mapping transform. Selecting a suitable initial approximation and using homotopic mapping, it obtains an approximate solution with an arbitrary degree of accuracy for the solitary wave. From the approximate solution obtained by using the homotopic mapping method, it possesses a good accuracy.This paper studies a generalized nonlinear evolution equation. Using the homotopic mapping method, it constructs a corresponding homotopic mapping transform. Selecting a suitable initial approximation and using homotopic mapping, it obtains an approximate solution with an arbitrary degree of accuracy for the solitary wave. From the approximate solution obtained by using the homotopic mapping method, it possesses a good accuracy.

关 键 词：evolution equation NONLINEAR SOLITON approximate method 

分 类 号：O175[理学—数学] O411.1[理学—基础数学]