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An integrable generalization of the super Kaup-Newell soliton hierarchy and its bi-Hamiltonian structure

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arxiv 1706.03929 v1 pith:CCXBFB5B submitted 2017-06-13 nlin.SI

An integrable generalization of the super Kaup-Newell soliton hierarchy and its bi-Hamiltonian structure

classification nlin.SI
keywords superhierarchysolitonbi-hamiltoniangeneralizationgeneralizedintegrablekaup-newell
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An integrable generalization of the super Kaup-Newell(KN) isospectral problem is introduced and its corresponding generalized super KN soliton hierarchy are established based on a Lie super-algebra B(0,1) and super-trace identity in this paper. And the resulting super soliton hierarchy can be put into a super bi-Hamiltonian form. In addition, a generalized super KN soliton hierarchy with self-consistent sources is also presented.

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