| 利用同伦摄动法数值模拟两个非线性发展方程的行波解 |
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| 引用本文： | 额尔敦布和,特木尔朝鲁. 利用同伦摄动法数值模拟两个非线性发展方程的行波解[J]. 内蒙古大学学报(自然科学版), 2010, 41(3) |
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| 作者姓名： | 额尔敦布和 特木尔朝鲁 |
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| 作者单位： | 1. 内蒙古工业大学,理学院,呼和浩特,010051;呼和浩特民族学院,数理系,呼和浩特,010051
2. 上海海事大学,文理学院,上海,200135 |
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| 基金项目： | 国家教育部博士点基金资助项目,上海教委科学研究创新项目,内蒙古高等学校科学研究资助项目 |
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| 摘 要： | 利用何的同伦摄动方法求解两个非线性发展方程-广义正则长波方程和Drinefel'd-Sokolov-Wilson方程.把由同伦摄动法模拟出的数值行波解与其对应精确解相比较,揭示得到的数值行波解是高精度的.该方法直接、简练,而且适用于数学物理中的其它非线性发展方程.
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| 关 键 词： | 同伦摄动方法 广义正则长波方程 Drinefel'd-Sokolov-Wilson方程组 行波解 数值模拟 |
Numerical Simulation of the Travelling Wave Solutions for two Nonlinear Evolution Equations by Homotopy Perturbation Method |
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| Eerdunbuhe,Temuerchaolu. Numerical Simulation of the Travelling Wave Solutions for two Nonlinear Evolution Equations by Homotopy Perturbation Method[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(3) |
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| Authors: | Eerdunbuhe Temuerchaolu |
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| Affiliation: | Eerdunbuhe1,2,Temuerchaolu3 (1.College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China,2.Department of Sciences,Hohhot University for Nationalities,3.College of Art and Sciences,Shanghai Maritime University,Shanghai 200135,China) |
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| Abstract: | He's homotopy perturbation method is used to solve two kinds of nonlinear evolution equations,the generalized regularized long wave equation and Drinefel'd-Sokolov-Wilson equations.Numerical travelling wave solutions simulated by the homotopy perturbation method are compared with the exact solutions,revealing that the obtained solutions are of high accuracy.The method is straightforward and concise,and can also be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | Homotopy perturbation method generalized regularized long wave equation Drinefel'd-Sokolov-Wilson equation travelling wave solution numerical simulation |
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