Application of the Riemann-Hilbert approach to the derivative nonlinear
Schrodinger hierarchy
Abstract
In this paper, the main work is to study the N-soliton solutions for the
derivative nonlinear Schrodinger hierarchy. Then, the matrix
Riemann-Hilbert problem is constructed for this integrable hierarchy by
analyzing the spectral problem of the Lax pair. Based on the scattering
relationship, the N-soliton solutions for this system are given
explicitly.