Binary nonlinearization of the super AKNS system

Details Binary nonlinearization of the super AKNS system Binary nonlinearization of the super AKNS system

2007-11-18

arxiv.org/abs/0711.2785v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

10.1142/S0217984908014778

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.

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