| 一类三阶KdV方程的精确解 |
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| 引用本文： | 韦雪敏,朱小军. 一类三阶KdV方程的精确解[J]. 广西科学院学报, 2010, 26(2): 103-106 |
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| 作者姓名： | 韦雪敏 朱小军 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西桂林,541004
2. 广西岑溪市归义二中,广西岑溪,543207 |
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| 摘 要： | 用行波变换将三阶KdV方程化为常微分方程,用Riccati方程映射法得出满足原方程的参数方程组,再结合Mathematica数学软件解该参数方程组,获得一类三阶KdV方程的精确孤立波解和周期波解.
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| 关 键 词： | KdV方程 孤波解 周期波解 双曲函数正切法 |
| 收稿时间： | 2009-12-11 |
Exact Solutions to a Type of Third-order KdV Equation |
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| WEI Xue-min and ZHU Xiao-jun. Exact Solutions to a Type of Third-order KdV Equation[J]. Journal of Guangxi Academy of Sciences, 2010, 26(2): 103-106 |
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| Authors: | WEI Xue-min and ZHU Xiao-jun |
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| Affiliation: | 1.School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin,Guangxi,541004,China;2.Guiyi Secondary School of Cenxi City in Guangxi,Cenxi,Guangxi,543207,China) |
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| Abstract: | First the third-order KdV equation is transformed into ordinary differential equation and then the parametric equations which satisfy the original equation are obtained by generalizing Riccati mapping method.The parametric equations were further solved by mathematical software Mathematica to obtain explicit solitary wave and periodic wave solutions. |
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| Keywords: | KdV equation solitary wave solutions periodic wave solutions hyperbolic tanh-function method |
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