超TD族的自相容源及其守恒律

吉林大学学报(理学版)

超TD族的自相容源及其守恒律

方芳, 胡贝贝

滁州学院数学与金融学院, 安徽滁州 239000

收稿日期:2017-02-13 出版日期:2018-01-26 发布日期:2018-01-24
通讯作者: 胡贝贝 E-mail:hu_chzu@163.com

Selfconsistent Sources for Super TD Hierarchyand Its Conservation Laws

FANG Fang, HU Beibei

School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, Anhui Province, China

Received:2017-02-13 Online:2018-01-26 Published:2018-01-24
Contact: HU Beibei E-mail:hu_chzu@163.com

摘要/Abstract

摘要： 考虑超TD方程族, 首先基于Loop李超代数和超级恒等式, 在与TD等谱问题等价的基础上构造超TD方程族, 得到了超Hamilton结构; 然后构造带自相容源的超TD方程族, 通过引入两个变量F和G, 得到了超TD方程族的无穷守恒律.

关键词: 守恒律, 自相容源, 超TD族

Abstract: We considered TD soliton hierarchy. Firstly, based on a Loop super Lie algebra and super identity, the super TD soliton hierarchy was constructed on the basis of the equivalence of the TD spectral problem, and the super Hamiltonian structure was obtained. Secondly, the super TD soliton hierarchy with selfconsistent sources was constructed. Finally, the infinite conservation laws for the super TD soliton hierarchy were obtained by introducing two variables F and G.

Key words: conservation law, selfconsistent source, super TD hierarchy

中图分类号:

O175.29

方芳, 胡贝贝. 超TD族的自相容源及其守恒律[J]. 吉林大学学报(理学版), 2018, 56(1): 35-42.

FANG Fang, HU Beibei. Selfconsistent Sources for Super TD Hierarchyand Its Conservation Laws[J]. Journal of Jilin University Science Edition, 2018, 56(1): 35-42.

[1]	胡贝贝, 张玲, 方芳. Li谱问题的超化及其自相容源[J]. 吉林大学学报(理学版), 2015, 53(02): 229-234.
[2]	洪丽莉,, 张凯, 张然. 线性Boussinesq方程的多辛RungeKutta Nystrom算法[J]. J4, 2007, 45(06): 892-898.