Analytical study of three-soliton interactions with different phases in nonlinear optics

Yunzhou Sun, Zhonghua Hu, Houria Triki, Mohammad Mirzazadeh, Wenjun Liu, Anjan Biswas, Qin Zhou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Excessive nonlinear drift in optical communication systems can lead to splitting of solitons and coexistence of multiple solitons, thereby affecting communication quality. In this paper, we investigate the nonlinear dynamic characteristics of three-soliton interactions in optical fibers. Firstly, we obtained exact three-soliton solution of the nonlinear Schrödinger equation. Then, we conduct theoretical simulations of the formation process of those obtained three solitons. The effects of initial phase, initial spacing and initial amplitude on the interaction of three solitons are discussed, and the evolution of three solitons in optical fibers is analyzed. The transmission characteristics of the interaction of three solitons are studied using theoretical analysis. The relevant conclusions will enrich people’s understanding of the interaction characteristics of multiple solitons and provide theoretical reference for experimental research.

Original languageEnglish
Pages (from-to)18391-18400
Number of pages10
JournalNonlinear Dynamics
Issue number19
Publication statusPublished - Oct 2023
Externally publishedYes


  • Nonlinear Schrödinger equation
  • Nonlinear dynamics
  • Soliton interactions


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