Construction of Multi-soliton Solutions of the $N$-Coupled Hirota Equations in an Optical Fiber

doi:10.1088/0256-307X/36/11/110201

Chin. Phys. Lett.

2019, Vol. 36

Issue (11): 110201 DOI: 10.1088/0256-307X/36/11/110201

GENERAL

Construction of Multi-soliton Solutions of the $N$-Coupled Hirota Equations in an Optical Fiber

Zhou-Zheng Kang^1,2, Tie-Cheng Xia^1**

¹Department of Mathematics, Shanghai University, Shanghai 200444
²College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043

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Zhou-Zheng Kang, Tie-Cheng Xia 2019 Chin. Phys. Lett. 36 110201

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Abstract This work aims to study the $N$-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity. By analyzing the spectral problem, a matrix Riemann–Hilbert problem on the real axis is strictly established. Then, by solving the presented matrix Riemann–Hilbert problem under the constraint of no reflection, the bright multi-soliton solutions to the $N$-coupled Hirota equations are explicitly gained.

Received: 22 July 2019 Published: 21 October 2019

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11975145, 11271008 and 61072147.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/36/11/110201 OR https://cpl.iphy.ac.cn/Y2019/V36/I11/110201

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	Zhou-Zheng Kang
	Tie-Cheng Xia

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