| 非线性发展方程的精确解 |
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| 引用本文： | 刘合春,王法官.非线性发展方程的精确解[J].成都信息工程学院学报,2010,25(5):551-556. |
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| 作者姓名： | 刘合春 王法官 |
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| 作者单位： | 成都信息工程学院数学学院,四川,成都,610225 |
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| 摘 要： | 基于齐次平衡法的思想,利用G′G-展开法求得KdV-Burgers-Kuramoto方程的精确解,这些解更具有一般性,其中包括了双曲函数解、三角函数周期解、有理数解。同时,这些解对于研究湍流运动和不稳定现象有重要意义。为更好的描述这些解,给出了三角函数周期解及扭状解的数值模拟图。
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| 关 键 词： | 非线性发展方程 KdV-Burgers-Kuramoto方程 齐次平衡法 G′G-展开法 精确解 |
The Exact Solutions of the Nonlinear Evolution Equation |
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| LIU He-chun,WANG Fa-guan.The Exact Solutions of the Nonlinear Evolution Equation[J].Journal of Chengdu University of Information Technology,2010,25(5):551-556. |
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| Authors: | LIU He-chun WANG Fa-guan |
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| Institution: | LIU He-chun,WANG Fa-guan(School of Mathematics,CUIT,Chengdu 610225,China) |
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| Abstract: | Based on the idea of homogeneous balance method,this paper used G′ G-expansion method to obtain the traveling wave solutions of the KdV-Burgers-Kuramoto equation,which are generalized.Including the hyperbolic function and trigonometric functions periodic solutions,rational solution.At the same time,these solutions for studying unsteady turbulent motion has an important meaning.For better describe these solutions,we give the numerical simulation of the trigonometric periodic solution and torsional shape solution. |
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| Keywords: | nonlinear evolution equations KdV-Burgers-Kuramoto equation homogeneous balance method G′ G-expansion method exact solutions |
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