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Novel Perspective To The Fractional Schrã–Dinger Equation Arising In Optical Fibers

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  • KANG-LE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China)

Abstract

In this paper, the fractional Schrödinger equation is described with beta derivative, which is used to elucidate the dynamic interaction of ultra-short pulses with quantum properties in optical fibers. This work is to study the solitary wave and periodic solutions of the fractional Schrödinger equation by employing three powerful and simple mathematical approaches like fractional Kudryashov method, fractional cosine–sine method and fractional tanh function method. The acquired outcomes illustrate that the proposed three computational approaches are simple, efficient, concise and can be adopted to study more complex phenomena. Finally, the dynamical behavior of these acquired solitary wave solutions is illustrated by sketching some 3D figures with proper parameters.

Suggested Citation

  • Kang-Le Wang, 2024. "Novel Perspective To The Fractional Schrã–Dinger Equation Arising In Optical Fibers," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24500348
    DOI: 10.1142/S0218348X24500348
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