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New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials

作     者:Elsayed M.E.Zayed Abdul-Ghani Al-Nowehy Reham M.A.Shohib 

作者机构:Department of MathematicsFaculty of ScienceZagazig UniversityZagazigEgypt Department of MathematicsFaculty of Education and ScienceTaiz UniversityTaizYemen 

出 版 物:《Journal of Ocean Engineering and Science》 (海洋工程与科学(英文))

年 卷 期:2019年第4卷第1期

页      面:14-23页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:New sub-equation method (G/G,1/G)-expansion method Generalized Riccati equation mapping method Perturbed nonlinear Schrödinger equation Exact solutions. 

摘      要:In a previous work,Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended(G/G)-expansion method and found new exact solutions of the nonlinear KPP *** the present article,we propose a different method,namely,a new sub-equation method consists of the Riccati equation mapping method and the(G/G,1/G)-expansion method to find new exact solutions of the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber *** proposed method is not found ***,trigonometric and rational function solutions are *** solutions of the generalized Riccati equation are presented for the first time which are not reported *** solutions of the given nonlinear equation can be applied in ocean engineering for calculating the height of tides in the ocean.

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