Integrability of the generalized multi-component Fermi quantum derivative nonlin ear Schrdinger model

Abstract

With the help of Lax operator, the monodromy matrix is constructed, and the Hamiltonian is obtained. By using algebraic Bethe ansatz method, it has been shown t hat the monodromy matrix satisfies the Yang-Baxter equation on both a finite in terval and an infinite interval. So the integrability of this model is proved.