English

Binary nonlinearization of the super AKNS system

Exactly Solvable and Integrable Systems 2009-11-13 v1

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 R4N2N\mathbb{R}^{4N|2N}. The super Hamiltonian forms and integrals of motion are given explicitly.

Keywords

Cite

@article{arxiv.0711.2785,
  title  = {Binary nonlinearization of the super AKNS system},
  author = {Jingsong He and Jing Yu and Ruguang Zhou and Yi Cheng},
  journal= {arXiv preprint arXiv:0711.2785},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T09:44:33.674Z