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    • Qualitative and quantitative analysis of high-order nonlinear time–space fractional Schrödinger equation in mono-mode optical fibres

      XIANG XIAO

      Research Article Volume 96 Published: 11 August 2022 Article ID 0150

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/096/0150

    • Keywords

       

      Time–space fractional Schrödinger equation; qualitative analysis; quantitative analysis; exact travelling wave solution; complete discrimination system for polynomial method.

    • Abstract

       

      The dynamic properties and the analytic solutions of high-order nonlinear time–space fractional Schrödinger equation are studied in this article. Based on a conserved Hamiltonian, the topological structure and the existence of the periodic and soliton solutions are studied by classifying the equilibrium points using thebifurcation method. Moreover, all exact travelling wave solutions are constructed to verify the prior estimation in the qualitative analysis by the complete discrimination system for the polynomial method.

    • Author Affiliations

       

      XIANG XIAO1

      1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China

    • Dates

       
      Published
      11 August 2022
      Manuscript received
      13 February 2022
      Manuscript revised
      22 March 2022
      Accepted
      22 March 2022
      Final version published online
      11 August 2022

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      Posted on July 25, 2019

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