Binary Nonlinearization of the Super Akns System Under an Implicit Symmetry Constraint

Abstract

For the super AKNS system, an implicit symmetry constraint between the potentials and the eigenfunctions is proposed. After introducing some new variables to explicitly express potentials, the super AKNS system is decomposed into two compatible finite-dimensional super systems (x-part and $t_n$-part). Furthermore, we show that the obtained super systems are integrable super Hamiltonian systems in supersymmetry manifold ${\mathbb{R}}^{4N+2|2N+2}$.

10 pages, 5 figures, to appear in Journal of Physics A

References in corpus (4)

• Binary Symmetry Constraints of N-wave Interaction Equations in 1+1 and 2+1 Dimensions
• Binary nonlinearization of the super AKNS system
• Darboux Transformation for Supersymmetric KP Hierarchies
• Supermanifolds - Application to Supersymmetry

Cited by in corpus (2)

• 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