Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation*

Abstract

Based on the generalized coupled nonlinear Schrödinger equation, we obtain the analytic four-bright–bright soliton solution by using the Hirota bilinear method. The interactions among four solitons are also studied in detail. The results show that the interaction among four solitons mainly depends on the values of solution parameters; k 1 and k 2 mainly affect the two inboard solitons while k 3 and k 4 mainly affect the two outboard solitons; the pulse velocity and width mainly depend on the imaginary part of ki (i = 1, 2, 3, 4), while the pulse amplitude mainly depends on the real part of ki (i = 1, 2, 3, 4).