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| Boussinesq-Burgers方程的分岔及一些有界行波解 | |
| 引用本文： | 江波,陆毅,张剑豪,韩修静,毕勤胜. Boussinesq-Burgers方程的分岔及一些有界行波解[J]. 数学的实践与认识, 2012, 42(21): 232-237 |
| 作者姓名： | 江波 陆毅 张剑豪 韩修静 毕勤胜 |
| 作者单位： | 1. 江苏技术师范学院数理学院,江苏常州,213001 2. 江苏技术师范学院电气信息工程学院,江苏常州,213001 3. 江苏大学理学院,江苏镇江,212013 |
| 基金项目： | 国家自然科学基金，江苏省青蓝工程优秀青年骨干教师启动基金，江苏技术师范学院科研项目 |
| 摘 要： | 利用平面动力系统理论研究了Boussinesq-Burgers方程,讨论了方程在行波变换后所对应的平面动力系统的分岔行为,并基于相平面上特定的相轨道求出了该方程的扭结波、孤立波及周期波的解析表达式.数值模拟进一步验证了所得结论的正确性. |
| 关 键 词： | Boussinesq-Burgers方程 分岔 有界行波解 |
Bifurcations and Some Bounded Traveling Wave Solutions of Boussinesq-burgers Equation |
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| JIANG Bo , LU Yi , ZHANG Jian-hao , HAN Xiu-jing , BI Qin-sheng. Bifurcations and Some Bounded Traveling Wave Solutions of Boussinesq-burgers Equation[J]. Mathematics in Practice and Theory, 2012, 42(21): 232-237 | |
| Authors: | JIANG Bo LU Yi ZHANG Jian-hao HAN Xiu-jing BI Qin-sheng |
| Affiliation: | 1.School of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou 213001,China) (2.School of Electrical and Information Engineering,Jiangsu Teachers University of Technology,Changzhou 213001,China) (3.Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
| Abstract: | Under the traveling wave transformation,the bifurcations of the traveling wave system corresponding to the Boussinesq-Burgers equation are investigated by using the theory of planar dynamical systems.Based on some special phase orbits,some analytic expressions of bounded traveling wave solutions,which are kink,solitary and periodic wave solutions,are presented.Numerical simulations are given to show the correctness of our results. |
| Keywords: | Boussinesq-Burgers equation bifurcation bounded traveling wave solution |
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