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    • New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel $(G^{'} / G)$-expansion method

      MOSTAFA M A KHATER ALY R SEADAWY DIANCHEN LU

      Research Article Volume 90 Issue 5 May 2018 Article ID 0059

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      https://www.ias.ac.in/article/fulltext/pram/090/05/0059

    • Keywords

       

      Nonlinear complex fractional Schrödinger equation; new auxiliary equation method; novel $(G^{'} / G)$- expansion method; optical solitary travelling wave solutions; kink and antikink

    • Abstract

       

      In this research, we apply two different techniques on nonlinear complex fractional nonlinear Schrödinger equation which is a very important model in fractional quantum mechanics. Nonlinear Schrödinger equation is one of the basic models in fibre optics and many other branches of science. We use the conformable fractional derivative to transfer the nonlinear real integer-order nonlinear Schrödinger equation to nonlinear complex fractional nonlinear Schrödinger equation. We apply new auxiliary equation method and novel $(G^{'} / G)$-expansion method on nonlinear complex fractional Schrödinger equation to obtain new optical forms of solitary travelling wave solutions. We find many new optical solitary travelling wave solutions for this model. These solutions are obtained precisely and efficiency of the method can be demonstrated.

    • Author Affiliations

       

      MOSTAFA M A KHATER1 ALY R SEADAWY2 3 DIANCHEN LU1

      1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, People’s Republic of China
      2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
      3. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    • Dates

       
      Published
      10 May 2018
      Manuscript received
      30 August 2017
      Manuscript revised
      15 November 2017
      Accepted
      16 November 2017
      Early published
      Unedited version published online
      Final version published online
      29 March 2018

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