Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber

Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber

In this paper, a new modified direct similarity reduction method is considered to find new classes of Jacobi, hyperbolic and periodic wave solutions for both (1 + 1)-dimensional and (2 + 1)-dimensional nonlinear variable coefficients Schrödinger equations (vcNLSE) arising in optical fiber. Additiona...

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Main Author: Rehab M. El-Shiekh
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719303687
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spelling doaj-f09d6a90c7f54854bbc58c3684e350302020-11-24T21:49:56ZengElsevierResults in Physics2211-37972019-06-0113Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiberRehab M. El-Shiekh0Department of Mathematics, College of Science and Humanities at Howtat Sudair, Majmaah University, 11952, Saudi Arabia; Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt; Address: Department of Mathematics, College of Science and Humanities at Howtat Sudair, Majmaah University, 11952, Saudi Arabia.In this paper, a new modified direct similarity reduction method is considered to find new classes of Jacobi, hyperbolic and periodic wave solutions for both (1 + 1)-dimensional and (2 + 1)-dimensional nonlinear variable coefficients Schrödinger equations (vcNLSE) arising in optical fiber. Additionally, as a conclusion we have arrived in a theorem for both direct reduction and exact solutions to (n + 1)-dimensional vcNLSE. Finally, some physical applications for optical soliton propagation is given joint with figures. Keywords: Variable coefficients nonlinear Schrödinger equations, Modified similarity reduction method, Multiply Jacobi, Hyperbolic, periodic wave solutionshttp://www.sciencedirect.com/science/article/pii/S2211379719303687
collection DOAJ
language English
format Article
sources DOAJ
author Rehab M. El-Shiekh
spellingShingle Rehab M. El-Shiekh
Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
Results in Physics
author_facet Rehab M. El-Shiekh
author_sort Rehab M. El-Shiekh
title Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
title_short Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
title_full Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
title_fullStr Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
title_full_unstemmed Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber
title_sort classes of new exact solutions for nonlinear schrödinger equations with variable coefficients arising in optical fiber
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2019-06-01
description In this paper, a new modified direct similarity reduction method is considered to find new classes of Jacobi, hyperbolic and periodic wave solutions for both (1 + 1)-dimensional and (2 + 1)-dimensional nonlinear variable coefficients Schrödinger equations (vcNLSE) arising in optical fiber. Additionally, as a conclusion we have arrived in a theorem for both direct reduction and exact solutions to (n + 1)-dimensional vcNLSE. Finally, some physical applications for optical soliton propagation is given joint with figures. Keywords: Variable coefficients nonlinear Schrödinger equations, Modified similarity reduction method, Multiply Jacobi, Hyperbolic, periodic wave solutions
url http://www.sciencedirect.com/science/article/pii/S2211379719303687
work_keys_str_mv AT rehabmelshiekh classesofnewexactsolutionsfornonlinearschrodingerequationswithvariablecoefficientsarisinginopticalfiber
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