修正的Kadomtsev-Petviasvili方程的对称和守恒律
PDF下载 (422)王美玲1,3,楼森岳1,2*,俞 军3.修正的Kadomtsev-Petviasvili方程的对称和守恒律[J].宁波大学学报(理工版),2016,29(1):53-58.DOI:
WANG Mei-ling1,3,LOU Sen-yue1,2*,YU Jun3.Symmetries and Conservation Laws of Modified Kadomtsev-Petviasvili Equation[J].Journal of Ningbo University(Natural Science & Engineering Edition),2016,29(1):53-58.DOI:
| Title: | Symmetries and Conservation Laws of Modified Kadomtsev-Petviasvili Equation |
| 作者: | 王美玲1, 3, 楼森岳1, 2*, 俞 军3 |
| Author(s): | WANG Mei-ling1, 3, LOU Sen-yue1, 2*, YU Jun3 |
| 关键词: | 修正Kadomtsev-Petviasvili方程; Kac-Moody-Virasoro对称代数; 无穷多守恒律 |
| Keywords: | KMV symmetry; modified KP equation; conservation laws |
| 分类号: | O29 |
| 文献标识码: | A |
| 摘要: | 修正Kadomtsev-Petviasvili (MKP)方程是非线性偏微分方程和物理学中的一个重要模型. 最近楼森岳教授指出从可积系统的一个点李对称出发, 可以得到无穷多的守恒律. 应用楼教授的思想, 首先研究MKP方程的经典的李点对称, 然后根据二阶延拓结构(Lie-Bäcklund算子), 构造MKP方程的无穷多守恒律. |
| Abstract: | The modified Kadomtsev-Petviasvili (MKP) equation serves as an important model in physics and nonlinear partial differential equations. Recently, Prof. Lou proposed that we could obtain infinite number of conservation laws of an integrable system from its Lie point symmetry. Applying the idea proposed by Prof. Lou, we first study the classical Lie point symmetry of MKP equation, then the conservation laws of MKP equation is constructed using the second-order Lie-B?cklund operator. |
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| 备注/Memo: | 收稿日期: 2015?03?02. 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（11435005, 11175092）. 第一作者: 王美玲（1990－）, 女, 浙江临海人, 在读硕士研究生, 主要研究方向: 非线性物理. E-mail: 330718066@qq.com *通信作者: 楼森岳（1957－）, 男, 浙江余姚人, 教授, 主要研究方向: 量子场论、粒子物理和非线性物理. E-mail: lousenyue@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
