标题： 非线性二值化超AKNS系统在隐式对称约束下 显示英文标题

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

摘要： 对于超AKNS系统，提出了势函数和本征函数之间的隐式对称约束。 在引入一些新变量以显式表达势函数之后，超AKNS系统被分解为两个相容的有限维超系统（x部分和$t_n$部分）。 此外，我们证明所得到的超系统是在超对称流形$\mathbb{R}^{4N+2|2N+2}$上可积的超哈密顿系统。 显示英文摘要

摘要： 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 $\mathbb{R}^{4N+2|2N+2}$.