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超TD族的自相容源及其守恒律

Self-consistent Sources for Super TD Hierarchy and Its Conservation Laws
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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. 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 o1 tbe 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.
作者 方芳 胡贝贝
机构地区 滁州学院数学与金融学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2018年第1期35-42,共8页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11601055) 安徽省自然科学研究项目(批准号:KJ2015B02) 滁州学院科研项目(批准号:2015GH27)
关键词 超TD族 自相容源 守恒律 super TD hierarchy self-consistent source conservation law
分类号 O175.29 [理学—基础数学]
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吉林大学学报（理学版）
2018年 第1期

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