Binary nonlinearization of the super AKNS system

Abstract

We establish the binary nonlinearization approach of the spectral problem of the super AKNS system, and then use it to obtain the super finite-dimensional integrable Hamiltonian system in supersymmetry manifold ${\mathbb{R}}^{4N|2N}$. The super Hamiltonian forms and integrals of motion are given explicitly.

13pages, Latex, to appear in Modern Phys. Lett.B

References in corpus (8)

• A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization
• Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type
• Darboux Transformation for Supersymmetric KP Hierarchies
• Supersymmetric KP Hierarchy: ``Ghost'' Symmetry Structure, Reductions and Darboux-Backlund Solutions
• The sAKNS Hierarchy
• Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
• Supermanifolds - Application to Supersymmetry
• Canonical gauge equivalences of the sAKNS and sTB hierarchies

Cited by in corpus (3)

• Binary Nonlinearization of the Super Akns System Under an Implicit Symmetry Constraint
• Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures
• A Novel Symmetry Constraint Of The Super cKdV System