| 非线性弦振动方程的孤子解、周期孤立波解和拟周期解 |
| |
| 引用本文： | 王媛,徐桂琼.非线性弦振动方程的孤子解、周期孤立波解和拟周期解[J].西北师范大学学报,2010(6). |
| |
| 作者姓名： | 王媛 徐桂琼 |
| |
| 作者单位： | 上海大学理学院;上海大学管理学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10801037) |
| |
| 摘 要： | 利用Hirota双线性方法,首先得到了非线性弦振动方程的孤子解,图形分析表明,此方程存在阶梯状的双向孤子解,既包括迎面型碰撞的孤子解,也包括追赶型碰撞的孤子解.其次,得到了非线性弦振动方程4种类型的周期孤立波解.最后,借助于Riemann theta函数,得到了非线性弦振动方程的拟周期解,在极限情况下,该拟周期解可以退化为孤子解.
|
| 关 键 词： | 非线性弦振动方程 Hirota双线性方法 孤子解 周期孤立波解 拟周期解 |
Soliton solutions,periodic solitary and quasi-periodic wave solutions for a nonlinear vibrating string equation |
| |
| WANG Yuan,XU Gui-qiong.Soliton solutions,periodic solitary and quasi-periodic wave solutions for a nonlinear vibrating string equation[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010(6). |
| |
| Authors: | WANG Yuan XU Gui-qiong |
| |
| Institution: | WANG Yuan1,XU Gui-qiong2 (1.College of Sciences,Shanghai University,Shanghai 200444,China,2.College of Management,China) |
| |
| Abstract: | By using of the Hirota bilinear method,the soliton solutions of the nonlinear vibrating string equation are obtained.The nonlinear vibrating string equation admits up-stair shape bidirectional soliton solutions,which represent the head-on collisions between solitary waves as well as overtaking ones.Then,four types of periodic solitary wave solutions are derived for the nonlinear vibrating string equation.Moreover,the quasi-periodic wave solutions are also given for the nonlinear vibrating string equation by... |
| |
| Keywords: | nonlinear vibrating string equation Hirota bilinear method soliton solution periodic solitary wave solution quasi-periodic wave solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
