三阶AKNS方程的孤子解与双Wronskian解之间的联系
PDF下载 (300)罗嗣龙,李玉奇.三阶AKNS方程的孤子解与双Wronskian解之间的联系[J].宁波大学学报(理工版),2013,26(03):72-76.DOI:
LUO Si-long,LI Yu-qi.Soliton Solution for the Third-order AKNS Equation and its Relation with Double Wronskian Solutions[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(03):72-76.DOI:
| Title: | Soliton Solution for the Third-order AKNS Equation and its Relation with Double Wronskian Solutions |
| 作者: | 罗嗣龙, 李玉奇 |
| Author(s): | LUO Si-long, LI Yu-qi |
| 关键词: | AKNS方程; 双朗斯基技术; 不变流形的约束法 |
| Keywords: | AKNS equation; double Wronskian technique; invariant-manifold constraint method |
| 分类号: | O175.29 |
| 文献标识码: | A |
| 摘要: | AKNS方程的孤子解完全可以用双朗斯基解来表示. 笔者通过约束方法便捷地求出了它的多孤子解. 同时证明了三阶AKNS方程的每个双朗斯基解都是不变流形的约束类型. |
| Abstract: | It is widely believed that all of the soliton solutions of the AKNS are completely described by the double Wronskian solutions. In this paper, multi-soliton solutions can also be conveniently obtained using the method of constraint. Besides each double Wronskian solution of the third-order AKNS is of invariant- manifold constraint type will be proved. |
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| 备注/Memo: | Received date: 2012?11?20. Foundation items: Supported by the National Natural Science Foundation of China (11175092); Zhejiang Provincial Natural Science Foundation (R6090717); National Science Foundation of Ningbo (2009B21003, 2010A610103, 2010A610095).The first author: LUO Si-long (1987-), male, jiujiang Jiangxi, post of graduate student, research domain: mathematical physics. E-mail: luosilong29@126.com Corresponding author: LI Yu-qi (1975-), male, qingzhou shandong, doctor, research domain: mathematical physics. E-mai: liyuqi@nbu.edu.cn. 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
