Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers

doi:10.1088/1674-1056/ad39d7

Abstract Under investigation in this paper is a complex modified Korteweg-de Vries (KdV) equation, which describes the propagation of short pulses in optical fibers. Bilinear forms and multi-soliton solutions are obtained through the Hirota method and symbolic computation. Breather-like and bound-state solitons are constructed in which the signs of the imaginary parts of the complex wave numbers and the initial separations of the two parallel solitons are important factors for the interaction patterns. The periodic structures and position-induced phase shift of some solutions are introduced.

Keywords: complex modified KdV equation multi-soliton solutions breather-like bound-state

Received: 16 March 2024
Revised: 28 March 2024
Accepted manuscript online: 03 April 2024

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

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12161061), the Fundamental Research Funds for the Inner Mongolia University of Finance and Economics (Grant No. NCYWT23036), the Young Innovative and Entrepreneurial Talents of the Inner Mongolia Grassland Talents Project in 2022, Autonomous Region “Five Major Tasks” Research Special Project for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. NCXWD2422), High Quality Research Achievement Cultivation Fund for the Inner Mongolia University of Finance and Economics in 2024 (Grant No. GZCG2426), and the Talent Development Fund of Inner Mongolia Autonomous Region, China.

Corresponding Authors: Zhong-Zhou Lan
E-mail: zhongzhou-lan@buaa.edu.cn

Cite this article:

Zhong-Zhou Lan(兰中周) Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers 2024 Chin. Phys. B 33 060201

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Multi-soliton solutions, breather-like and bound-state solitons for complex modified Korteweg-de Vries equation in optical fibers

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