基于约束和双朗斯基的二阶AKNS方程的孤子解研究
PDF下载 (285)万云珍,李玉奇,罗嗣龙.基于约束和双朗斯基的二阶AKNS方程的孤子解研究[J].宁波大学学报(理工版),2013,26(04):82-86.DOI:
WAN Yun-zhen,LI Yu-qi,LUO Si-long.Research on Constraint and Double Wronskian for the Second-order AKNS Equation’s Soliton Solutions[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(04):82-86.DOI:
| Title: | Research on Constraint and Double Wronskian for the Second-order AKNS Equation’s Soliton Solutions |
| 作者: | 万云珍, 李玉奇, 罗嗣龙 |
| Author(s): | WAN Yun-zhen, LI Yu-qi, LUO Si-long |
| 关键词: | AKNS方程; 双朗斯基技术; 孤子约束方法 |
| Keywords: | AKNS equation; double Wronskian technique; soliton constraints |
| 分类号: | O175 |
| 文献标识码: | A |
| 摘要: | 鉴于双朗斯基技术给出了二阶AKNS方程的双朗斯基解, 而约束技术又可以得到AKNS方程族一切孤子解的情况, 因此, 通过双朗斯基行列式序列找出了这两类解之间的联系, 并通过定理证明其满足由约束技术得到的约束序列, 且双朗斯基解也满足相应的双朗斯基行列式序列. |
| Abstract: | Based on the fact that the double Wronskian technique gives double Wronskian solutions of the second AKNS equation, and the restriction technique can be all soliton solution of the AKNS hierarchy of equations, the double Wronskian determinant sequence can be used to identify the link between these two types of solutions. The theorem proves that it meets constraint sequence by restriction technique, and the double Wronskian solution meets the corresponding sequence of the double Wronskian determinant. |
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| 备注/Memo: | Received date: 2013-01-04. Foundation items: Supported by the National Natural Science Foundation of China (11175092); Zhejiang Provincial Natural Science Foundation (R6090717); Ningbo Natural Science Foundation (2009B21003, 2010A610103, 2010A610095). The first author: WAN Yun-zhen ( 1988- ), female, Fuzhou Jiangxi, M.S. Candidate, research domain: mathematical physics. E-mail: yunzhen0721@163.com *Corresponding author: LI Yu-qi ( 1975- ), male, Qingzhou Shandong, Doctor, research domain: mathematical physics. E-mail: liyuqi@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
