Localized wave solutions to a variable-coefficient coupled Hirota equation in inhomogeneous optical fiber

被引：6
作者：
Song, N. [1 ]
Shang, H. J. [1 ]
Zhang, Y. F. [1 ]
Ma, W. X. [2 ,3 ,4 ,5 ]
机构：
[1] North Univ China, Sch Math, Taiyuan 030051, Shanxi, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Variable-coefficient coupled Hirota equation; Generalized Darboux transformation; Soliton; Breather; SCHRODINGER-EQUATION; SOLITONS; TRANSFORMATION;
D O I：
10.1007/s11071-022-08134-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The first- and second-order localized waves for a variable-coefficient coupled Hirota equation describe the vector optical pulses in inhomogeneous optical fiber and are investigated via generalized Darboux transformation in this work. Based on the equation's Lax pair and seed solutions, the localized wave solutions are calculated, and the dynamics of the obtained localized waves are shown and analyzed through numerical simulation. A series of novel dynamical evolution plots illustrating the interaction between the rogue waves and dark-bright solitons or breathers are provided. It is found that functions have an influence on the propagation of shape, period, and velocity of the localized waves. The presented results contribute to enriching the dynamics of localized waves in inhomogeneous optical fiber.
引用
收藏
页码：5709 / 5720
页数：12
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