A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

doi:10.1088/1674-1056/21/11/110203

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110203-110203.doi: 10.1088/1674-1056/21/11/110203

A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

魏含玉^{a b}, 夏铁成^a

a Department of Mathematics, Shanghai University, Shanghai 200444, China;
b Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China

收稿日期:2012-04-19 修回日期:2012-05-21 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11271008, 61072147, and 11071159 ) and the Shanghai Leading Academic Discipline Project, China (Grant No. J50101).

A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

Wei Han-Yu (魏含玉)^{a b}, Xia Tie-Cheng (夏铁成 )^a

a Department of Mathematics, Shanghai University, Shanghai 200444, China;
b Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China

Received:2012-04-19 Revised:2012-05-21 Online:2012-10-01 Published:2012-10-01
Contact: Wei Han-Yu E-mail:weihanyu8207@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11271008, 61072147, and 11071159 ) and the Shanghai Leading Academic Discipline Project, China (Grant No. J50101).

摘要/Abstract

摘要： Based on differential forms and exterior derivatives of fractional orders, Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation. We apply the generalized Tu formula to calculate the fractional Dirac soliton equation hierarchy and its Hamiltonian structure. The method can be generalized to the other fractional soliton hierarchy.

关键词: fractional calculus, generalized Tu formula, Dirac soliton hierarchy, Hamiltonian structure

Abstract: Based on differential forms and exterior derivatives of fractional orders, Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation. We apply the generalized Tu formula to calculate the fractional Dirac soliton equation hierarchy and its Hamiltonian structure. The method can be generalized to the other fractional soliton hierarchy.

Key words: fractional calculus, generalized Tu formula, Dirac soliton hierarchy, Hamiltonian structure

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 generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure[J]. 中国物理B, 2012, 21(11): 110203-110203.

Wei Han-Yu (魏含玉), Xia Tie-Cheng (夏铁成 ). A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure[J]. Chin. Phys. B, 2012, 21(11): 110203-110203.

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A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

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