| 陈登远,朱晓英,张建兵,孙莹莹,施英.等谱AKNS方程的新孤子解[J].数学年刊A辑,2012,33(2):205~216 |
| 等谱AKNS方程的新孤子解 |
| New Soliton Solutions to Isospectral AKNS Equations |
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| DOI： |
| 中文关键词: AKNS方程 双线性导数 新多孤子解 |
| 英文关键词:AKNS equation, Bilinear derivative, New multi-soliton solution |
| 基金项目:国家自然科学基金，上海市重点学科建设基金，江苏省高校自然科学基金 |
| Author Name | Affiliation | E-mail | | CHEN Dengyuan | Department of Mathematics, Shanghai University, Shanghai 200444, china | dychen@mail.shu.edu.cn | | ZHU Xiaoying | Department of Mathematics, College of Sciences, Shandong Jianzhu University,
Jinan 250101, china | zxy8d0536@shu.edu.cn | | ZHANG Jianbing | School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116,
Jiangsu, china | jianbingzhang@yahoo.cn | | SUN Yingying | Department of Mathematics, Shanghai University, Shanghai 200444, china | yingy.sun@yahoo.com.cn | | SHI Ying | Department of Mathematics, Shanghai University, Shanghai 200444, china | shiying0707@shu.edu.cn |
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| 中文摘要: |
| 给出2阶AKNS方程的两类双线性导数方程,利用扰动展开与截断技术,分别导出这两类方程的多孤子解,并将所得结果推广到AKNS方程族的情形.关于广义双线性导数方程孤子解的结果是新的. |
| 英文摘要: |
| Two kinds of bilinear derivative equations of second-order AKNS equations are
given. By using the perturbation expansion and the truncated technique, the multi-soliton
solutions to these two kinds of bilinear derivative equations are derived and extended to
the AKNS hierarchy. The results about the soliton solutions to the generalized bilinear
derivative equations are new. |
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