| Approximate solution for the Klein Gordon-Schrdinger equation by the homotopy analysis method |
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| 引用本文： | 王佳,李彪,叶望川.Approximate solution for the Klein Gordon-Schrdinger equation by the homotopy analysis method[J].中国物理 B,2010,19(3):30401-030401. |
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| 作者姓名： | 王佳 李彪 叶望川 |
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| 作者单位： | Nonlinear Science Center and Department of Mathematics, Ningbo
University, Ningbo 315211, China;Nonlinear Science Center and Department of Mathematics, Ningbo
University, Ningbo 315211, China;MM Key Lab, Chinese Academy of Sciences, Beijing 100080, China;Nonlinear Science Center and Department of Mathematics, Ningbo
University, Ningbo 315211, China |
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| 基金项目： | 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) and K.C. Wong Magna Fund
in Ningbo University. |
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| 摘 要： | The Homotopy analysis method is applied to obtain the approximate solution of the Klein-Gordon-Schrdinger equation.The Homotopy analysis solutions of the Klein-Gordon-Schrdinger 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.
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| 关 键 词： | Klein-Gordon-Schrdinger equation homotopy analysis method approximate solution |
| 收稿时间： | 6/3/2009 12:00:00 AM |
Approximate solution for the Klein－Gordon－Schr?dinger equation by the homotopy analysis method |
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| Wang Ji,Li Biao and Ye Wang-Chuan.Approximate solution for the Klein－Gordon－Schr?dinger equation by the homotopy analysis method[J].Chinese Physics B,2010,19(3):30401-030401. |
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| Authors: | Wang Ji Li Biao and Ye Wang-Chuan |
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| Affiliation: | Nonlinear Science Center and Department of Mathematics, Ningbo
University, Ningbo 315211, China; Nonlinear Science Center and Department of Mathematics, Ningbo
University, Ningbo 315211, China;MM Key Lab, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The Homotopy analysis method is applied to obtain the approximate solution of the Klein--Gordon--Schr?dinger equation. The Homotopy analysis solutions of the Klein--Gordon--Schr?dinger 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. |
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| Keywords: | Klein--Gordon--Schr?dinger equation homotopy analysis method approximate solution |
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