Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 2


Published
on

December 26, 2019


Pages

535-542


DOI

Article

Optical solitons to the fractional Schrödinger-Hirota equation

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Authors

Tukur Abdulkadir Sulaiman Affiliation:
Department of Mathematics, Firat University, Elazig, Turkey
, Hasan Bulut Affiliation:
Department of Mathematics, Firat University, Elazig, Turkey
and Sibel Sehriban Atas Affiliation:
Department of Mathematics, Firat University, Elazig, Turkey


Abstract

This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schrödinger-Hirota equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. Dark soliton describes the solitary waves with lower intensity than the background, bright soliton describes the solitary waves whose peak intensity is larger than the background, and the singular soliton solutions is a solitary wave with discontinuous derivatives; examples of such solitary waves include compactions, which have finite (compact) support, and peakons, whose peaks have a discontinuous first derivative. The constraint conditions for the existence of valid solutions are given. We use some suitable values of the parameters in plotting 3-dimensional surfaces to some of the reported solutions.


Keywords

M-fractional derivative, sinh-Gordon equation, Schrödinger-Hirota equation, optical soliton, 49K20


Citation

Sulaiman, T. A., Bulut, H., & Atas, S. S. (2019). Optical solitons to the fractional schrödinger-hirota equation. Applied Mathematics and Nonlinear Sciences, 4(2), 535–542. https://doi.org/10.2478/AMNS.2019.2.00050
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