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Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications

  • M. Arshad
  • Aly R. Seadawy
  • Dianchen Lu
Article

Abstract

The propagation of the optical solitons is usually governed by the higher order nonlinear Schrödinger equations (NLSE). In optics, the NLSE modelizes light-wave propagation in an optical fiber. In this article, modified extended direct algebraic method with add of symbolic computation is employed to construct bright soliton, dark soliton, periodic solitary wave and elliptic function solutions of two higher order NLSEs such as the resonant NLSE and NLSE with the dual-power law nonlinearity. Realizing the properties of static and dynamic for these kinds of solutions are very important in various many aspects and have important applications. The obtaining results confirm that the current method is powerful and effectiveness which can be employed to other complex problems that arising in mathematical physics.

Keywords

The resonant NLSE The NLSE with the dual-power law nonlinearity Modified extended direct algebraic method Solitons solitary wave solutions Elliptic function solutions Periodic solutions 

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© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Faculty of ScienceJiangsu UniversityZhenjiangPeople’s Republic of China
  2. 2.Mathematics Department, Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia
  3. 3.Mathematics Department, Faculty of ScienceBeni-Suef UniversityBeni SuefEgypt

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