Bright solitons for a (3+1)-dimensional hyperbolic nonlinear Schr\"{o}dinger equation

WANG Jing-Ying; JIANG Yan; TIAN Bo

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Bright solitons for a (3+1)-dimensional hyperbolic nonlinear Schr\"{o}dinger equation

WANG Jing-Ying,JIANG Yan *,TIAN Bo

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876; State Key Laboratory of Information Photonics and Optical Communications, Beijing 100876

*Correspondence author

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Funding: Fundamental Research Funds for the Central Universities of China （No.2011BUPTYB02）

Opened online:29 March 2024

Accepted by: none

Citation: WANG Jing-Ying,JIANG Yan,TIAN Bo.Bright solitons for a (3+1)-dimensional hyperbolic nonlinear Schr\"{o}dinger equation[OL]. [29 March 2024] http://en.paper.edu.cn/en_releasepaper/content/4762952

In this paper, the (3+1)-dimensional hyperbolic nonlinear Schr\"{o}dinger equation is studied, which describes the propagation dynamics of optical solitons in mono-mode fibers. Based on the bilinear forms of the equation,the bright one- and two-solitons solutions of the equation are obtained by using the Hirota method. At the same time, the properties of soliton solutions are further analyzed by images. It can be observed that the amplitude and shape of the bright one soliton remain unchanged during propagation, and that the interaction between the bright two solitons is elastic. The influence of parameter change on soliton solutions is also explained.

Keywords:Applied mathematics; Bilinear forms; Solitons; (3+1)-dimensional Hyperbolic Nonlinear Schr\"{o}dinger equation

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