Riemann-Hilbert approach for the combined nonlinear Schrodinger and Gerdjikov-Ivanov equation and its N-soliton solutions

摘要

On the basis of the spectral analysis for the Lax pair, a Riemann-Hilbert problem of the combined nonlinear Schrodinger and Gerdjikov-Ivanov equation is established. Using the inverse scattering transformation and the Riemann-Hilbert approach, the combined nonlinear Schrodinger and Gerdjikov-Ivanov equation is studied. As an application, N-soliton solutions of the combined nonlinear Schrodinger and Gerdjikov-Ivanov equation are obtained. In addition, some figures are given to illustrate the soliton characteristics of the nonlinear integrable equation.