Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures
Mathematical Physics
2018-03-14 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, a new generalized 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.
Keywords
Cite
@article{arxiv.1706.05234,
title = {Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures},
author = {Beibei Hu and Wen-Xiu Ma and Tiecheng Xia and Ling Zhang},
journal= {arXiv preprint arXiv:1706.05234},
year = {2018}
}
Comments
18 pages