Approximate bright-soliton solution of the higher-order nonlinear Schrodinger equation

被引：1

作者：

Meng, De-Xin ^{[1
]}

Hu, Ming-Yu ^{[2
]}

Xu, Tao ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Beijing, Peoples R China

[2] China Univ Petr, Sch Econ & Management, Beijing, Peoples R China

来源：

EUROPEAN JOURNAL OF PHYSICS | 2021年 / 42卷 / 01期

基金：

中国国家自然科学基金;

关键词：

higher-order nonlinear Schrö dinger equation; singular perturbation method; approximate bright-soliton solution; PERTURBATIONS; DISPERSION; SYSTEMS;

D O I：

10.1088/1361-6404/abba00

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In this paper, approximate bright-soliton solutions of the higher-order nonlinear Schrodinger equation are constructed by treating the higher-order terms as small perturbations. The first-, second-, and third-order asymptotic solutions are obtained. The errors between the asymptotic solutions and the numerical/analytical solutions are discussed, which gives a high accuracy of the approximate solutions. It is pointed that the asymptotic solutions can be used as the initial value to improve the accuracy of the numerical solutions. This paper may be helpful for undergraduate and graduate students in mathematics and physics to understand the approximate soliton solutions of the higher-order nonlinear Schrodinger equation.

引用

页数：12

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