Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System

الملخص EN

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 r -matrix are also given in this paper.