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Optical and Quantum Electronics

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01-02-2017

Generalized \((\frac{G^{\prime }}{G})\)-expansion method and exact traveling wave solutions of the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity in optical fiber materials

Authors: Zaiyun Zhang, Jianguo Wu

Published in: Optical and Quantum Electronics | Issue 2/2017

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Abstract

In this paper, we investigate the nonlinear the perturbed nonlinear Schrödinger’s equation (NLSE) with Kerr law nonlinearity given in Zhang et al. (Appl Math Comput 216:3064–3072, 2010) and obtain new exact traveling solutions by using generalized \((\frac{G^{\prime }}{G})\)-expansion method. Under some parameter conditions, some explicit expressions of solutions for the equation are obtained. These solutions contain hyperbolic function solutions, trigonometric function solutions and rational function solution.

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Title: Generalized -expansion method and exact traveling wave solutions of the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity in optical fiber materials
Authors: Zaiyun Zhang
Jianguo Wu
Publication date: 01-02-2017
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 2/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-016-0884-4

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