| K(n,-n,2n)方程的行波解 |
| |
| 引用本文： | 毕平,仇钊成.K(n,-n,2n)方程的行波解[J].华东师范大学学报(自然科学版),2009,2009(1):68-77. |
| |
| 作者姓名： | 毕平 仇钊成 |
| |
| 作者单位： | 华东师范大学数学系,上海,200241 |
| |
| 基金项目： | 国家自然科学基金，上海市重点学科建设项目，上海市自然科学基金 |
| |
| 摘 要： | 利用动力系统分支理论和定性理论研究了$K(n,-n,2n)$方程的行波解及其动力学性质. 结合可积系统的特点, 得到系统的孤立行波解,不可数无穷多光滑周期行波解和不光滑行波解；并根据行波解与相轨线间关系,揭示了不同类型行波解间转变与参数变化的关系.
|
| 关 键 词： | 行波解 孤立波 周期波 尖波 光滑波 行波解 孤立波 周期波 尖波 光滑波 |
| 收稿时间： | 2008-7-26 |
| 修稿时间： | 2008-9-1 |
Traveling wave solutions of equation K(n,-n,2n) (Chinese) |
| |
| BI Ping,QIU Zhao-cheng.Traveling wave solutions of equation K(n,-n,2n) (Chinese)[J].Journal of East China Normal University(Natural Science),2009,2009(1):68-77. |
| |
| Authors: | BI Ping QIU Zhao-cheng |
| |
| Institution: | Department of Mathematics;East China Normal University;Shanghai 200241;China |
| |
| Abstract: | The traveling wave solutions and the dynamical properties of Equation K(n,-n,2n)were studied in terms of the bifurcation theory of dynamic systems and of the qualitative theory.Based on the characters of an integrable system,the solitary traveling wave solutions,uncountably infinite many smooth periodic wave solutions and non-smooth periodic traveling wave solutions of the system were obtained.According to the relationship between traveling waves and phase orbits,that changes of parameters led to the transi... |
| |
| Keywords: | traveling wave solitary wave periodic wave cusp wave smooth wave |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《华东师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华东师范大学学报(自然科学版)》下载免费的PDF全文 |
|
