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

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• 作者：Zaiyun Zhang ; Jianguo Wu
• 关键词：Exact traveling solutions ; NLSE with Kerr law nonlinearity ; Generalized \((\frac{G^{\prime }}{G})\) ; expansion method
• 刊名：Optical and Quantum Electronics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：49
• 期：2
• 全文大小：
• 刊物主题：Optics, Lasers, Photonics, Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X
• 卷排序：49

文摘

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.