| 广义三阶KdV方程行波解的分支 |
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| 引用本文： | 王兆娟,黄吴玲.广义三阶KdV方程行波解的分支[J].桂林电子科技大学学报,2008,28(1):48-50. |
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| 作者姓名： | 王兆娟 黄吴玲 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 摘 要： | 通过运用平面动力系统理论、分支理论和直接方法研究广义三阶KdV方程,证明该方程存在光滑孤立波解和无穷多光滑周期波解.并在不同的参数条件下,给出了光滑孤立波解和光滑周期波解存在的各类充分条件,并求出了上述一些解的显示精确形式.
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| 关 键 词： | 光滑孤立波 光滑周期波 广义三阶KdV方程 |
| 文章编号： | 1673-808X（2008）01-0048-04 |
| 收稿时间： | 2007-11-20 |
| 修稿时间： | 2007年11月20 |
Bifurcations of traveling wave solutions for generalized third-order KdV equation |
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| WANG Zhao-juan,HUANG Wu-ling.Bifurcations of traveling wave solutions for generalized third-order KdV equation[J].Journal of Guilin Institute of Electronic Technology,2008,28(1):48-50. |
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| Authors: | WANG Zhao-juan HUANG Wu-ling |
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| Abstract: | The theory of dynamical systems, the theory of bifurcation and the direct method are referred to in investigating the generalized third-order KdV equation. The existence of smooth solitary wave solutions and periodic wave solutions are proved. Under different parametric conditions, various sufficient conditions to guarantee the existence of solitary wave solutions and periodic wave solutions are given. Some exact explicit formula of the above solutions are listed. |
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| Keywords: | solitary wave periodic wave generalized third-order KdV equation |
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