| 用同伦摄动法解Kdv-Burgers方程 |
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| 引用本文： | 李阳. 用同伦摄动法解Kdv-Burgers方程[J]. 科学技术与工程, 2011, 11(14): 3123-3125,3137 |
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| 作者姓名： | 李阳 |
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| 作者单位： | 1. 东北石油大学数学科学与技术学院,大庆,163318
2. 黑龙江工程学院数学系,哈尔滨,150050 |
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| 摘 要： | 利用行波变换将Kdv-Burgers方程化为常微分方程,并结合同伦摄动方法求它的二阶近似解。
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| 关 键 词： | 行波变换 同伦摄动法 非线性偏微分方程 近似解 |
| 收稿时间： | 2011-02-28 |
| 修稿时间： | 2011-02-28 |
Homotopy Perturbation method and Approximate Solutions of Kdv-Burgers Equaition |
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| LIYANG. Homotopy Perturbation method and Approximate Solutions of Kdv-Burgers Equaition[J]. Science Technology and Engineering, 2011, 11(14): 3123-3125,3137 |
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| Authors: | LIYANG |
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| Affiliation: | LI Yang1,WANG Pei-chen2(Mathematics Institute,Northeast Petroleum University1,Daqing 163318,P.R.China,Mathematics Institute,Heilongjiang Institute of Technology2,Haerbin 150050,P.R.China) |
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| Abstract: | Some discussion and gets to some conclusion are made on how to transform Kdv-Burgers equation into the ordinary differential equation with traveling wave transform method and homotopy perturbation method.And get the equations of second order approximate solutions. |
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| Keywords: | traveling wave transform method homotopy perturbation method nonlinear partial differential equations approximate solutions |
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