Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schr?dinger equation

更新时间:2023-05-28

【摘要】Based on the generalized coupled nonlinear Schr ¨odinger 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; k1 and k2 mainly affect the two inboard solitons while k3 and k4 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).

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