Binary nonlinearization of the super AKNS system under an implicit symmetry constraint. (English) Zbl 1183.37113

The authors propose an implicit symmetry constraint between the potentials and the eigenfunctions of the super AKNS system. Then under the constraint the super Ahlowitz-Kaup-Newell-Sequr (AKNS) system is decomposed into two compatible finite-dimensional super systems. And furthermore, the authors shows that the obtained finite-dimensional super systems are completely integrable in the Liouville sense.


37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
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