An N-soliton solution to the DNLS equation based on revised inverse scattering transform

Based on a revised version of inverse scattering transform for the derivative nonlinear Schrodinger (DNLS) equation with vanishing boundary condition (VBC), the explicit N-soliton solution has been derived by some algebra techniques of some special matrices and determinants, especially the Binet Cauchy formula. The one- and two-soliton solutions have been given as the illustration of the general formula of the N-soliton solution. Moreover, the asymptotic behaviors of the N-soliton solution have been discussed.