Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and -matrix are also given in this paper.
Jing Yu. Jingwei Han. "Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System." Abstr. Appl. Anal. 2014 (SI67) 1 - 9, 2014. https://doi.org/10.1155/2014/507540