Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions

doi:10.1088/1674-1056/ad4d64

Abstract This paper aims to investigate the multi-soliton solutions of the coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions. These equations are utilized to model the phenomenon of nonlinear waves propagating simultaneously in non-uniform optical fibers. By analyzing the Lax pair and the Riemann-Hilbert problem, we aim to provide a comprehensive understanding of the dynamics and interactions of solitons of this system. Furthermore, we study the impacts of group velocity dispersion or the fourth-order dispersion on soliton behaviors. Through appropriate parameter selections, we observe various nonlinear phenomena, including the disappearance of solitons after interaction and their transformation into breather-like solitons, as well as the propagation of breathers with variable periodicity and interactions between solitons with variable periodicities.

Keywords: soliton Riemann-Hilbert problem non-zero boundary conditions coupled Lakshmanan-Porsezian-Daniel equation

Received: 16 April 2024
Revised: 15 May 2024
Accepted manuscript online:

PACS:	02.30.Rz	(Integral equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2021502004) and the Fundamental Research Funds for the Central Universities (Grant No. 2024MS126).

Corresponding Authors: Xi-Yang Xie
E-mail: xiyangxie@ncepu.edu.cn

Cite this article:

Hui-Chao Zhao(赵会超), Lei-Nuo Ma(马雷诺), and Xi-Yang Xie(解西阳) Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions 2024 Chin. Phys. B 33 080201

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Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions

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