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

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

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.

Keywords: fractional calculus generalized Tu formula Dirac soliton hierarchy Hamiltonian structure

Received: 19 April 2012
Revised: 21 May 2012
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)
	02.20.Sv	(Lie algebras of Lie groups)

Fund: 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).

Corresponding Authors: Wei Han-Yu
E-mail: weihanyu8207@163.com

Cite this article:

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

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

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