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