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

Abstract

In this paper, a new generalized $5\times 5$ 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.

18 pages

References in corpus (6)

• Binary nonlinearization of the super AKNS system
• Fusion hierarchies for N = 4 superYang-Mills theory
• Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
• A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
• A generalized super integrable hierarchy of Dirac type
• An integrable generalization of the super Kaup-Newell soliton hierarchy and its bi-Hamiltonian structure