非线性时变系数Schrödinger方程的精确解

IF 1.5 4区物理与天体物理 Q3 PHYSICS, PARTICLES & FIELDS

Advances in High Energy Physics Pub Date : 2021-06-15 DOI:10.1155/2021/6694980

Xin-Lei Mai, Wei Li, S. Dong

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引用次数: 2

摘要

本文采用试验函数法求解高阶含时系数非线性薛定谔方程的精确解。该系统可用于描述超短光脉冲在非线性光纤中的传播，具有自陡峭和自频移效应。发现了一般情况下的新的一般解，包括Jacobi椭圆函数解、孤立波解和有理函数解，这些解与Triki和Wazwaz仅研究特例的先前解进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients

In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrodinger equations with high-order time-dependent coefficients. This system might be used to describe the propagation of ultrashort optical pulses in nonlinear optical fibers, with self-steepening and self-frequency shift effects. The new general solutions are found for the general case including the Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions which are presented in comparison with the previous ones obtained by Triki and Wazwaz, who only studied the special case .

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来源期刊

Advances in High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

3.40

自引率

5.90%

发文量

审稿时长

6-12 weeks

期刊介绍： Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.