研究目的
To study the Riemann-Hilbert problem of the N-coupled high-order nonlinear Schr?dinger equations and its multi-soliton solutions, which control the propagation of N fields with all high-order effects such as high-order dispersion, self-steepening effect, and Raman scattering in optical fiber.
研究成果
The study successfully constructs the RH problem for the N-CHNLS equations and derives multi-soliton solutions, including breather, bright, and dark solutions. The propagation behavior and interactions of these solutions are analyzed, providing insights into the dynamics of ultrashort pulses in optical fibers under high-order effects.
研究不足
The study is limited to the theoretical analysis and numerical simulation of the N-CHNLS equations. Experimental validation and practical application in optical fiber communication are not covered.
