| 广义坏Boussinesq方程的新精确孤波解和余弦周期波解 |
| |
| 引用本文： | 张卫国,李韶伟,别荣军.广义坏Boussinesq方程的新精确孤波解和余弦周期波解[J].上海理工大学学报,2007,29(6):511-517. |
| |
| 作者姓名： | 张卫国 李韶伟 别荣军 |
| |
| 作者单位： | 上海理工大学理学院,上海,200093 |
| |
| 基金项目： | 国家自然科学基金;上海市重点学科建设项目;上海市教委资助项目 |
| |
| 摘 要： | 利用假设待定法求出了广义坏Boussinesq方程的具双曲正割函数分式形式且渐近值不为0的4个新精确孤波解和6个余弦周期波解,并分别讨论了它们的有界性,揭示了行波波速的改变对上述钟状孤波解和余弦周期波波形变化的影响.
|
| 关 键 词： | 坏Boussinesq方程 孤波解 余弦周期波解 |
| 文章编号： | 1007-6735(2007)06-0511-07 |
| 修稿时间： | 2006年9月18日 |
New exact Solitary-wave solutions and periodic wave solutions for generalized bad Boussinesq equation |
| |
| ZHANG Wei-guo,LI Shao-wei,BIE Rong-jun.New exact Solitary-wave solutions and periodic wave solutions for generalized bad Boussinesq equation[J].Journal of University of Shanghai For Science and Technology,2007,29(6):511-517. |
| |
| Authors: | ZHANG Wei-guo LI Shao-wei BIE Rong-jun |
| |
| Abstract: | Four new exact solitarywave solutions(whose asymptotic values are not equal to zero)with the hyperbolic secant function fractional form and six periodic wave solutions with cosine function form for the generalized bad Boussinesq equation were obtained by use of undetermined assumption method.The boundedness of these solutions were discussed.The correlative characteristics between the exact solitary-wave solutions and the periodic wave solutions were examined along with the variation of the traveling wave's velocity. |
| |
| Keywords: | bad Boussinesq equation solitary-wave solution periodicwave solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
| 点击此处可从《上海理工大学学报》下载免费的PDF全文 |
