Riemann-Hilbert approach for multisoliton solutions of generalized coupled fourth-order nonlinear Schrodinger equations

摘要

The main purpose of this work is to develop Riemann-Hilbert approach to obtain the soliton solutions for generalized coupled fourth-order nonlinear Schrodinger equations, which describe the simultaneous propagation of optical pulses in an inhomogeneous optical fiber. Starting from the spectral analysis of the Lax pair, a Riemann-Hilbert problem is set up. After solving the obtained Riemann-Hilbert problem with reflectionless case, we systematically derive multisoliton solutions for the generalized coupled fourth-order nonlinear Schrodinger equations. In addition, the localized structures and dynamic behaviors of one- and two-soliton solutions are shown by some graphic analysis.