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

doi:10.1007/s11071-023-08786-z

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 journal › Article › peer-review

36 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	18391-18400
Number of pages	10
Journal	Nonlinear Dynamics
Volume	111
Issue number	19
DOIs	https://doi.org/10.1007/s11071-023-08786-z
Publication status	Published - Oct 2023
Externally published	Yes

Keywords

Nonlinear Schrödinger equation
Nonlinear dynamics
Soliton interactions

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10.1007/s11071-023-08786-z

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title = "Analytical study of three-soliton interactions with different phases in nonlinear optics",

abstract = "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 Schr{\"o}dinger 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{\textquoteright}s understanding of the interaction characteristics of multiple solitons and provide theoretical reference for experimental research.",

keywords = "Nonlinear Schr{\"o}dinger equation, Nonlinear dynamics, Soliton interactions",

author = "Yunzhou Sun and Zhonghua Hu and Houria Triki and Mohammad Mirzazadeh and Wenjun Liu and Anjan Biswas and Qin Zhou",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature B.V.",

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doi = "10.1007/s11071-023-08786-z",

language = "English",

volume = "111",

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T1 - Analytical study of three-soliton interactions with different phases in nonlinear optics

AU - Sun, Yunzhou

AU - Hu, Zhonghua

AU - Triki, Houria

AU - Mirzazadeh, Mohammad

AU - Liu, Wenjun

AU - Biswas, Anjan

AU - Zhou, Qin

PY - 2023/10

Y1 - 2023/10

N2 - 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.

AB - 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.

KW - Nonlinear Schrödinger equation

KW - Nonlinear dynamics

KW - Soliton interactions

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

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Keywords

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