| 混合AKNS-CLL方程的N-孤子解 |
| |
| 引用本文： | 潘红飞,夏铁成.混合AKNS-CLL方程的N-孤子解[J].上海大学学报(自然科学版),2015,21(6):709-716. |
| |
| 作者姓名： | 潘红飞 夏铁成 |
| |
| 作者单位： | 上海大学理学院, 上海200444 |
| |
| 基金项目： | 国家自然科学基金资助项目(11271008) |
| |
| 摘 要： | 由Hirota方法推导出混合AKNS-CLL方程的双线性导数方程和N-孤子解, 并比较混合AKNS-CLL方程、AKNS方程和CLL方程的单孤子解|q|和|r|的图像, 可以发现混合AKNS-CLL方程的特征形状不同于经典AKNS和CLL方程解. 最后, 通过约化, 得到混合非线性Schrödinger方程的N-孤子解.
|
| 关 键 词： | N-孤子解 Hirota方法 混合AKNS-CLL方程 混合非线性Schr¨odinger方程 |
| 收稿时间： | 2014-06-23 |
N-soliton solutions of combined AKNS-CLL equation |
| |
| PAN Hong-Fei,XIA Tie-Cheng.N-soliton solutions of combined AKNS-CLL equation[J].Journal of Shanghai University(Natural Science),2015,21(6):709-716. |
| |
| Authors: | PAN Hong-Fei XIA Tie-Cheng |
| |
| Affiliation: | College of Sciences, Shanghai University, Shanghai 200444, China |
| |
| Abstract: | The bilinear form and N-soliton solutions are derived for a combined AKNSCLL equation using the Hirota approach. These solutions are novel in general. The one-soliton solutions of the combined AKNS-CLL equation, AKNS equation and CLL equation were drawn. Also, the combined AKNS-CLL equation is given a different characteristic from the classical AKNS and CLL equations. The bilinear form and N-soliton solutions of combined nonlinear Schr¨odinger equation are obtained by reduction. |
| |
| Keywords: | N-soliton solutions combined AKNS-CLL equation combined nonlinear Schr¨odinger equation Hirota approach |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《上海大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《上海大学学报(自然科学版)》下载全文 |
