| 压缩弹性杆模型中的各种有界和无界行波 |
| |
| 引用本文： | 芮伟国,龙瑶,万飞. 压缩弹性杆模型中的各种有界和无界行波[J]. 昆明理工大学学报(自然科学版), 2006, 31(5): 116-120 |
| |
| 作者姓名： | 芮伟国 龙瑶 万飞 |
| |
| 作者单位： | 云南红河学院,数学系,云南,蒙自,661100;云南红河学院,教育系,云南,蒙自,661100 |
| |
| 基金项目： | 国家自然科学基金;红河学院校科研和教改项目 |
| |
| 摘 要： | 用动力系统分支理论和微分方程数值算法研究了压缩弹性杆模型.计算了与鞍点处的两种稳定和不稳定流形相对应的有界和无界行波解.在不同的参数条件下,利用Maple软件绘出了周期波、周期尖波、孤立波、紧孤立波等解的波形图.给出了一些有界和无界行波解的隐式表达式.
|
| 关 键 词： | 弹性杆模型 有界行波解 无界行波解 紧孤立波解 |
| 文章编号： | 1007-855X(2006)05-0116-05 |
| 收稿时间： | 2005-11-25 |
| 修稿时间： | 2005-11-25 |
A Study of Bounded and Unbounded Traveling Waves in the Model of Compressible Elastic Rod |
| |
| RUI Wei-Guo,LONG Yao,WANG Fei. A Study of Bounded and Unbounded Traveling Waves in the Model of Compressible Elastic Rod[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2006, 31(5): 116-120 |
| |
| Authors: | RUI Wei-Guo LONG Yao WANG Fei |
| |
| Affiliation: | 1. Department of Mathematics ,Honghe University, Mengzi ,Yunnan 661100,China; 2. Department of Education,Honghe University, Mengzi ,Yunnan 661100, China |
| |
| Abstract: | By using the bifurcation theory of dynamic system and the method of numerical simulation of differential equation,the model of compressible elastic rod has been studied.The bounded and unbounded traveling wave solutions which correspond to the stable and unstable manifold at the saddle point have been worked out.Under the different parametric conditions,by using Maple software,the graph of periodic wave,solitary wave,compacton,etc are shown.Some implicit expressions of the bounded and unbounded traveling wave solutions are given. |
| |
| Keywords: | model of elastic rod bounded traveling wave solutions unbounded traveling wave solutions compacton |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
