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

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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 the bifurcation 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.

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Acknowledgements

This work is supported by the National Statistical Science Research Project of China (No. 2020LY080).

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Authors and Affiliations

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

    Xiang Xiao

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  1. Xiang Xiao
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Correspondence to Xiang Xiao.

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Xiao, X. Qualitative and quantitative analysis of high-order nonlinear time–space fractional Schrödinger equation in mono-mode optical fibres. Pramana - J Phys 96, 150 (2022). https://doi.org/10.1007/s12043-022-02391-2

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  • DOI: https://doi.org/10.1007/s12043-022-02391-2

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