A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure |
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| Authors: | Wei Han-Yu ab and Xia Tie-Cheng |
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| Institution: | Wei Han-Yu a)b) and Xia Tie-Cheng a) a) Department of Mathematics,Shanghai University,Shanghai 200444,China b) Department of Mathematics and Information Science,Zhoukou Normal University,Zhoukou 466001,China |
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| Abstract: | Based on the 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. |
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| Keywords: | fractional calculus generalized Tu formula Dirac soliton hierarchy Hamiltonian struc- ture |
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