Generalized Fractional Trace Variational Identity and A New Fractional Integrable Couplings of Soliton Hierarchy |
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| Authors: | Hanyu WEI Tiecheng XIA |
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| Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China;2. Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China |
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| Abstract: | Based on fractional isospectral problems and general bilinear forms, the generalized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy. |
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| Keywords: | generalized fractional trace variational identity fractional integrable couplings soliton hierarchy Hamiltonian structure |
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