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arXiv · 1706.03929

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

Beibei Hu·Tiecheng Xia·Ling Zhang
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Abstract

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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Beibei Hu, Tiecheng Xia, Ling Zhang. 2017-06-13. An integrable generalization of the super Kaup-Newell soliton hierarchy and its bi-Hamiltonian structure. https://arxiv.org/abs/1706.03929

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