Interactions among solitons for a fifth-order variable coefficient nonlinear Schrodinger equation

被引：20
|
作者：
Liu, Suzhi [1 ,2 ]
Zhou, Qin [3 ]
Biswas, Anjan [4 ,5 ,6 ,7 ]
Alzahrani, Abdullah Kamis [5 ]
Li, Wenjun [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, POB 122, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, POB 122, Beijing 100876, Peoples R China
[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China
[4] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA
[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[6] Natl Res Nucl Univ, Dept Appl Math, Moscow 115409, Russia
[7] Tshwane Univ Technol, Dept Math & Stat, Pretoria 0008, South Africa
来源：
NONLINEAR DYNAMICS | 2020年 / 100卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Bright soliton; Nonlinear Schrodinger equation; Analytic solution; Hirota method; FAULT-TOLERANT CONTROL; PHASE-SHIFT; DISPERSION; BRIGHT;
D O I：
10.1007/s11071-020-05657-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A fifth-order variable coefficient nonlinear Schrodinger equation based on original inhomogeneous model is proposed and studied. Bright multi-soliton analytic solutions of the equation are calculated through the Hirota method and auxiliary function. The effect of different constraints between fifth-order dispersion with third-order dispersion on soliton transmission is researched. Besides, their propagation and interaction dynamics are analyzed. Moreover, based on the obtained three-soliton solutions, we change the value of beta(x) to discuss the soliton propagation. Three different propagation and interaction structures are derived via adjusting the nonlinear term. The results can enrich the inhomogeneous model and apply in nonlinear optical fiber.
引用
收藏
页码：2797 / 2805
页数：9
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