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

被引:0
|
作者
Zhao, Hui-Chao [1 ]
Ma, Lei-Nuo [1 ]
Xie, Xi-Yang [1 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
关键词
soliton; Riemann-Hilbert problem; non-zero boundary conditions; coupled Lakshmanan-Porsezian-Daniel equation; 02.30.Rz; 02.30.Ik; 05.45.Yv; SOLITONS; SYSTEM;
D O I
10.1088/1674-1056/ad4d64
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:16
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