利用强对称和逆强对称算子构造可积方程族——以势mKdV方程的强对称和逆强对称算子为例
PDF下载 (300)陈孜童,贾 曼.利用强对称和逆强对称算子构造可积方程族——以势mKdV方程的强对称和逆强对称算子为例[J].宁波大学学报(理工版),2020,33(5):99-104.DOI:
CHEN Zitong,JIA Man.Integrable models constructed from symmetries of potential mKdV equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(5):99-104.DOI:
| Title: | Integrable models constructed from symmetries of potential mKdV equation |
| 作者: | 陈孜童, 贾 曼 |
| Author(s): | CHEN Zitong, JIA Man |
| 关键词: | 强对称和逆强对称算子; 势mKdV方程; 势mKdV方程族; KdV方程族; Liouville方程族; sinh-Gordon(和/或sine-Gordon)方程族; 广义势mKdV方程族 |
| Keywords: | strong symmetry and inverse recursion operator; potential mKdV equation; potential mKdV hierarchies; KdV hierarchies; Liouville hierarchies; sinh-Gordon and/or sine-Gordon hierarchies; generalized potential mKdV hierarchy |
| 分类号: | O415 |
| 文献标识码: | A |
| 摘要: | 从势mKdV方程的对称出发, 利用强对称算子和逆强对称算子, 不仅可以构造mKdV方程族和KdV方程族, 还可以构造Liouville方程族、sinh-Gordon(和/或sine-Gordon)方程族. 研究表明, 这里构造的Liouville方程族、sinh-Gordon(和/或sine-Gordon)方程族是一个广义势mKdV方程族的一半, 而mKdV方程族和KdV方程族是这个广义势mKdV方程族的另一半. |
| Abstract: | Starting from the symmetries of the potential modified KdV(mKdV) equation, Liouville, sinh-Gordon and/or sine-Gordon hierarchies can be established other than the potential mKdV hierarchies and the KdV hierarchies. The Liouville, sinh-Gordon and/or sine-Gordon hierarchies can be considered as one half hierarchy of the generalized potential mKdV hierarchy while the usual potential mKdV hierarchy can be thought of as another half hierarchy of the generalized potential mKdV hierarchy. |
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| 备注/Memo: | 收稿日期: 2020－05－11. 宁波大学学报（理工版）网址:http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11675084）; 宁波市自然科学基金（2015A610159）; 宁波大学王宽诚幸福基金. 第一作者: 陈孜童（1994－）, 男, 浙江绍兴人, 在读硕士研究生, 主要研究方向: 非线性物理. E-mail: 627136151@qq.com *通信作者: 贾曼（1979－）, 女, 河北唐山人, 博士/副教授, 主要研究方向: 非线性物理. E-mail:jiaman@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
