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Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions |
Hui-Chao Zhao(赵会超), Lei-Nuo Ma(马雷诺), and Xi-Yang Xie(解西阳)† |
Department of Mathematics and Physics, and Hebei Key Laboratory of Physics and Energy Technology, North China Electric Power University, Baoding 071003, China |
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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.
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Received: 16 April 2024
Revised: 15 May 2024
Accepted manuscript online:
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PACS:
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02.30.Rz
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(Integral equations)
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02.30.Ik
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(Integrable systems)
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05.45.Yv
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(Solitons)
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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
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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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