NOVEL PERSPECTIVE TO THE FRACTIONAL SCHRÖDINGER EQUATION ARISING IN OPTICAL FIBERS

Kang-Le Wang ()
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Kang-Le Wang: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-13

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.

Keywords: Beta Derivative; Solitary Wave Solution; Optical Fibers; Fractional Kudryashov Method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500348

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