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 Schrödinger 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...

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Main Authors: Xin-Lei Mai, Wei Li, Shi-Hai Dong
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2021/6694980
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author Xin-Lei Mai
Wei Li
Shi-Hai Dong
author_facet Xin-Lei Mai
Wei Li
Shi-Hai Dong
author_sort Xin-Lei Mai
collection DOAJ
description In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger 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 a0≠0 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 a0=0.
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institution Kabale University
issn 1687-7357
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language English
publishDate 2021-01-01
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series Advances in High Energy Physics
spelling doaj-art-613cb45093bb4dafa9f68a9a1c8d9c8e2025-02-03T01:24:51ZengWileyAdvances in High Energy Physics1687-73571687-73652021-01-01202110.1155/2021/66949806694980Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent CoefficientsXin-Lei Mai0Wei Li1Shi-Hai Dong2School of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaSchool of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaHuzhou University, Huzhou 313000, ChinaIn this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger 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 a0≠0 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 a0=0.http://dx.doi.org/10.1155/2021/6694980
spellingShingle Xin-Lei Mai
Wei Li
Shi-Hai Dong
Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
Advances in High Energy Physics
title Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
title_full Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
title_fullStr Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
title_full_unstemmed Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
title_short Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients
title_sort exact solutions to the nonlinear schrodinger equation with time dependent coefficients
url http://dx.doi.org/10.1155/2021/6694980
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AT weili exactsolutionstothenonlinearschrodingerequationwithtimedependentcoefficients
AT shihaidong exactsolutionstothenonlinearschrodingerequationwithtimedependentcoefficients