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

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

2009-10-11

arxiv.org/abs/0910.1961v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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 $\mathbb{R}^{4N+2|2N+2}$.

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