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arXiv · 1706.05234

Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures

Beibei Hu·Wen-Xiu Ma·Tiecheng Xia·Ling Zhang
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Abstract

In this paper, a new generalized $5\times5$ matrix spectral problem of Ablowitz-Kaup-Newell-Segur(AKNS) type associated with the enlarged matrix Lie super algebra is proposed and its corresponding super soliton hierarchy is established. The super variational identities is used to furnish super-Hamiltonian structures for the resulting super soliton hierarchy.

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Beibei Hu, Wen-Xiu Ma, Tiecheng Xia, Ling Zhang. 2017-06-16. Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. https://doi.org/10.1002/mma.4686

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