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

作　　者：赵会超 马雷诺 解西阳 Hui-Chao Zhao;Lei-Nuo Ma;Xi-Yang Xie(Department of Mathematics and Physics,and Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding 071003,China)

机构地区：[1]Department of Mathematics and Physics,and Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding 071003,China

出　　处：《Chinese Physics B》2024年第8期137-152,共16页中国物理B（英文版）

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

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.

关 键 词：soliton Riemann-Hilbert problem non-zero boundary conditions coupled Lakshmanan-Porsezian-Daniel equation 

分 类 号：O175.29[理学—数学]