The N-soliton solution to the higher-order nonlinear Schrodinger-Maxwell-Bloch system via the Riemann-Hilbert approach

In this paper, we study the N-soliton solution of the high-order nonlinear Schrodinger-Maxwell-Bloch system via the Riemann-Hilbert approach. Based on a Lax pair of the system, we carry out a spectral analysis and construct the corresponding Riemann-Hilbert problem. By solving the Riemann-Hilbert problem without reflection, we obtain the N-soliton solution of the system, especially the explicit expression of the single-soliton solution and the expression of the two-soliton solution. The partial three-dimensional diagrams of single-soliton and two-soliton solutions are also given. By comparing the diagrams, we also discuss the relationship between the parameters of the system and the soliton direction. Published under an exclusive license by AIP Publishing.