| Hirota-Satsuma耦合KdV方程行波解的分支 |
| |
| 引用本文： | 唐生强,周显潮.Hirota-Satsuma耦合KdV方程行波解的分支[J].长江大学学报,2007,4(4):21-24. |
| |
| 作者姓名： | 唐生强 周显潮 |
| |
| 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;桂林电子科技大学数学与计算科学学院,广西,桂林,541004 |
| |
| 基金项目： | 广西科学基金资助项目(No0575092)，新世纪广西高等教育教学改革工程重点立项项目 |
| |
| 摘 要： | 运用平面动力系统理论,研究了Hirota-Satsuma耦合KdV方程,证明该方程存在光滑孤立波解、扭结波和反扭结波解以及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、扭结波和反扭结波解以及光滑周期波解存在的各类充分条件,求出了上述所有的显示精确行波解。
|
| 关 键 词： | Hirota-Satsuma耦合KdV方程 行波解 光滑孤立波解 孤立波 扭结波 光滑周期波 |
| 文章编号： | 1673-1409（2007）04-N021-04 |
| 收稿时间： | 2007-06-12 |
Branch of Traveling Wave Solutions for the Hirota-Satsuma Coupled KdV Equations |
| |
| TANG Sheng-qiang,ZHOU Xian-chao.Branch of Traveling Wave Solutions for the Hirota-Satsuma Coupled KdV Equations[J].Journal of Yangtze University,2007,4(4):21-24. |
| |
| Authors: | TANG Sheng-qiang ZHOU Xian-chao |
| |
| Abstract: | The theory of dynamic systems was used to investigate the Hirota-Satsuma coupled KdV system.The existence of smooth solitary wave solutions,kink and anti-kink wave solutions and periodic wave solutions are proved.Under different parametric conditions,various sufficient conditions are provided to guarantee the existence of solitary wave solutions and kink and anti-kink wave solutions and periodic wave solutions.All exact explicit formulae of the above solutions are listed. |
| |
| Keywords: | solitary wave kink and anti-kink wave smooth isolated wave solution periodic wave Hirota-Satsuma coupled KdV system |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
