Nonlinear Integrable Couplings of a Generalized Super Ablowitz-Kaup-Newell-Segur Hierarchy and Its Super Bi-Hamiltonian Structures
Document Type
Article
Publication Date
2018
Keywords
Lie superalgebras, generalized super AKNS hirearchy, super integrable couplings, super bi-Hamiltonian structures
Digital Object Identifier (DOI)
https://doi.org/10.1002/mma.4686
Abstract
In this paper, a new generalized 5×5 matrix spectral problem of Ablowitz-Kaup-Newell-Segur type associated with the enlarged matrix Lie superalgebra is proposed, and its corresponding super soliton hierarchy is established. The super variational identities are used to furnish super Hamiltonian structures for the resulting super soliton hierarchy.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Mathematical Methods in the Applied Sciences, v. 41, issue 4, p. 1565-1577
Scholar Commons Citation
Hu, Beibei; Ma, Wen-Xiu; Xia, Tiecheng; and Zhang, Ling, "Nonlinear Integrable Couplings of a Generalized Super Ablowitz-Kaup-Newell-Segur Hierarchy and Its Super Bi-Hamiltonian Structures" (2018). Mathematics and Statistics Faculty Publications. 147.
https://digitalcommons.usf.edu/mth_facpub/147
