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

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...

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Published inChinese physics B Vol. 25; no. 1; pp. 394 - 399
Main Author 魏含玉 夏铁成
Format Journal Article
LanguageEnglish
Published 01.01.2016
Subjects
Algebra
Conservation laws
Hierarchies
Nonlinearity
Solitons
六分量
哈密顿结构
孤子族
守恒定律
守恒律
层次结构
李代数
自洽
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/25/1/010201

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Summary: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.
Bibliography:super Hamiltonian structures, self-consistent sources, conservation laws, Fermi variable
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.
11-5639/O4
Ying Tian;Shipeng Shen;Junzhuang Cong;Liqin Yan;Yisheng Chai;Young Sun;Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/25/1/010201