A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

doi:10.1088/1674-1056/25/1/010201

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/25/1/010201

• GENERAL • 下一篇

A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

Han-yu Wei(魏含玉) and Tie-cheng Xia(夏铁成)

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. Department of Mathematics, Shanghai University, Shanghai 200444, China

收稿日期:2015-05-31 修回日期:2015-09-21 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Han-yu Wei E-mail:weihanyu8207@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11547175, 11271008 and 61072147), the First-class Discipline of University in Shanghai, China, and the Science and Technology Department of Henan Province, China (Grant No. 152300410230).

A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

Han-yu Wei(魏含玉)¹ and Tie-cheng Xia(夏铁成)²

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2015-05-31 Revised:2015-09-21 Online:2016-01-05 Published:2016-01-05
Contact: Han-yu Wei E-mail:weihanyu8207@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11547175, 11271008 and 61072147), the First-class Discipline of University in Shanghai, China, and the Science and Technology Department of Henan Province, China (Grant No. 152300410230).

摘要/Abstract

摘要： A new six-component super soliton hierarchy is obtained based on matrix Lie super algebras. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy. After that, the self-consistent sources of the new six-component super soliton hierarchy are presented. Furthermore, we establish the infinitely many conservation laws for the integrable super soliton hierarchy.

关键词: super Hamiltonian structures, self-consistent sources, conservation laws, Fermi variable

Abstract: A new six-component super soliton hierarchy is obtained based on matrix Lie super algebras. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy. After that, the self-consistent sources of the new six-component super soliton hierarchy are presented. Furthermore, we establish the infinitely many conservation laws for the integrable super soliton hierarchy.

Key words: super Hamiltonian structures, self-consistent sources, conservation laws, Fermi variable

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations) 02.20.Sv (Lie algebras of Lie groups)

魏含玉, 夏铁成. A new six-component super soliton hierarchy and its self-consistent sources and conservation laws[J]. 中国物理B, 2016, 25(1): 10201-010201.

Han-yu Wei(魏含玉) and Tie-cheng Xia(夏铁成). A new six-component super soliton hierarchy and its self-consistent sources and conservation laws[J]. Chin. Phys. B, 2016, 25(1): 10201-010201.

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A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

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