Integrability of the generalized multi-component Fermi quantum derivative nonlinear Schrodinger model

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 that the monodromy matrix satisfies the Yang-Baxter equation on both a finite interval and an infinite interval. So the integrability of this model is proved.