New Finite Dimensional Systems Associated With DNLS Equation

In this paper,we starting from the new Lax pairs of the derivative nonlinear Schrodinger equation,two new constraint forms are introduced to construct the corresponding finite dimensional system,and the conserved integrals are further obtained.The main work is as follows:using the Lax pairs of soliton equation to introduce the matrix spectral function J,finite dimensional systems are obtained from the two different expansions of J with respect to spectral parameters,the conserved integrals are further found through the determinant of the matrix spectral function J.