NOVEL OPTICAL SOLITON SOLUTIONS OF THE FRACTIONAL PERTURBED SCHRÖDINGER EQUATION IN OPTICAL FIBER

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

FRACTALS (fractals), 2025, vol. 33, issue 03, 1-16

Abstract: This work is dedicated to investigating the fractional perturbed Schrödinger equation with M-truncated derivative, which appears in the fields of plasma physics and optical fiber communication. A variety of new optical soliton solutions and periodic solutions are obtained by adopting two excellent mathematical schemes, namely, the fractional unified method and the extended fractional (e−𠜃(ξ))-expansion method. The dynamic characteristics of these new optical soliton solutions are described by providing corresponding 2D and 3D graphs.

Keywords: Fractional Perturbed Schrödinger Equation; Fractional Unified Method; Extended Fractional (e−𠜃(ς))-Expansion Method (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X24501470

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