Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrödinger Equation**Supported by the National Key Research and Development Program of China under Grant No. 2017YFB0202901 and the National Natural Science Foundation of China under Grant No. 11871180

Abstract

Under investigation in this work is the general coupled nonlinear Schrödinger (gCNLS) equation, which can be used to describe a wide variety of physical processes. By using Darboux transformation, the new higher-order rogue wave solutions of the equation are well constructed. These solutions exhibit rogue waves on a multi-soliton background. Moreover, the dynamics of these solutions is graphically discussed. Our results would be of much importance in enriching and predicting rogue wave phenomena arising in nonlinear and complex systems.