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Bifurcation, Phase Portrait, Chaotic Pattern And Traveling Wave Solution Of The Fractional Perturbed Chen–Lee–Liu Model With Beta Time-Space Derivative In Fiber Optics

Author

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  • ZHAO LI

    (College of Computer Science, Chengdu University, Chengdu 610106, P. R. China)

Abstract

In this paper, the fractional perturbed Chen–Lee–Liu model with beta time-space derivative is under consideration. First, the traveling wave transformation is applied to transform the fractional perturbed Chen–Lee–Liu model into two-dimensional planar dynamic systems. Second, the bifurcation of the dynamics system of the fractional perturbed Chen–Lee–Liu model with beta time-space derivative is discussed by using the theory of the plane dynamics systems. Finally, the traveling wave solutions of the fractional perturbed Chen–Lee–Liu model are obtained via the analysis method of planar dynamical system.

Suggested Citation

  • Zhao Li, 2023. "Bifurcation, Phase Portrait, Chaotic Pattern And Traveling Wave Solution Of The Fractional Perturbed Chen–Lee–Liu Model With Beta Time-Space Derivative In Fiber Optics," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-7.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401928
    DOI: 10.1142/S0218348X23401928
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    Cited by:

    1. Ali, Karmina K. & Faridi, Waqas Ali & Tarla, Sibel, 2024. "Phase trajectories and Chaos theory for dynamical demonstration and explicit propagating wave formation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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