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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Bibliographic Details
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
Description
Summary: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
ISSN:2211-3797