Approximate solution for the Klein Gordon-Schrdinger equation by the homotopy analysis method  

作　　者：王佳 李彪 叶望川 

机构地区：[1]Nonlinear Science Center and Department of Mathematics,Ningbo University [2]MM Key Lab,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2010年第3期83-89,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10735030);National Basic Research Program of China (Grant No. 2007CB814800);Ningbo Natural Science Foundation (Grant No. 2008A610017);K.C. Wong Magna Fund in Ningbo University

摘　　要：The Homotopy analysis method is applied to obtain the approximate solution of the Klein-Gordon Schrodinger equation. The Homotopy analysis solutions of the Klein-Gordon Schrodinger equation contain an auxiliary parameter which provides a convenient way to control the convergence region and rate of the series solutions. Through errors analysis and numerical simulation, we can see the approximate solution is very close to the exact solution.The Homotopy analysis method is applied to obtain the approximate solution of the Klein-Gordon Schrodinger equation. The Homotopy analysis solutions of the Klein-Gordon Schrodinger equation contain an auxiliary parameter which provides a convenient way to control the convergence region and rate of the series solutions. Through errors analysis and numerical simulation, we can see the approximate solution is very close to the exact solution.

关 键 词：Klein-Gordon-Schrodinger equation homotopy analysis method approximate solution 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]