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

doi:10.1088/1674-1056/ab84ce

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; 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 k_i (i=1, 2, 3, 4), while the pulse amplitude mainly depends on the real part of k_i (i=1, 2, 3, 4).

Received: 30 December 2019
Revised: 25 February 2020
Accepted manuscript online:

PACS:	42.65.-k	(Nonlinear optics)
	11.10.Lm	(Nonlinear or nonlocal theories and models)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11705108).

Corresponding Authors: Li-Jun Song
E-mail: songlij@sxu.edu.cn

Cite this article:

Li-Jun Song(宋丽军), Xiao-Ya Xu(徐晓雅), Yan Wang(王艳) Four-soliton solution and soliton interactions of the generalized coupled nonlinear Schrödinger equation 2020 Chin. Phys. B 29 064211

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

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