Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers

被引：5
|
作者：
Hu, Beibei [1 ,2 ]
Lin, Ji [1 ]
Zhang, Ling [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China
[2] Chuzhou Univ, Sch Math & Finance, Chuzhou, Anhui, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Riemann-Hilbert problem; Unified transform method; Vector Lakshmanan-Porsezian-Daniel model; Volterra integral equations; BOUNDARY-VALUE-PROBLEMS; NONLINEAR SCHRODINGER-EQUATION; UNIFIED TRANSFORM METHOD; DE-VRIES EQUATION;
D O I：
10.1002/mma.8465
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate vector Lakshmanan-Porsezian-Daniel (VLPD) model which can be used to describe the ultrashort pulses in the birefringent optical fiber. Based on the unified transformation method, the Riemann-Hilbert problem is introduced and initial-boundary value problems of the VLPD model are studied. By solving the formulated matrix Riemann-Hilbert problem, the potential function solutions of the VLPD model can be reconstructed. Moreover, that the spectral functions are not independent but meet the so-called global relation is shown.
引用
收藏
页码：11545 / 11561
页数：17
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