Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

Uddin, M. F. and Hafez, M. G. and Giorgio, Ivan (2022) Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative. Advances in Mathematical Physics, 2022. pp. 1-15. ISSN 1687-9120

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Abstract

The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.

Item Type: Article
Subjects: Science Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 06 Feb 2023 04:32
Last Modified: 04 Apr 2024 08:55
URI: http://research.manuscritpub.com/id/eprint/1573

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