Eigenvalue Based Analysis of Soliton Fusion Phenomenon in the Frame Work of Nonlinear Schrödinger Equation

One mechanism to generate optical rogue waves is the soliton fusion phenomenon. The impact of initial parameters such as pulse spacing, frequency separation, and phase difference between adjacent soliton shape pulses for soliton fusion phenomenon has been analyzed based upon soliton's eigenvalue. Numerical simulation results reveal that the parameter space can be divided to three regions, i.e., co-propagation, soliton fusion, and repulsion, which are sensitively dependent on the initial parameter.