Riemann-Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrodinger equation

摘要

In this paper, we consider the Riemann-Hilbert (RH) method for a fourth-order non-linear Schrodinger (NLS) equation, which is reduced on the basis of the generalized Davydov's model by selecting some special parameters. On the basis of the spectral analysis for the Lax pair of the equation, the RH problem is presented. Through a specific RH problem in the sense of irregularity, the multi-soliton solutions are also obtained. In addition, dynamic behaviors of these soliton solutions are given to illustrate the soliton characteristics.