New optical solitons of space-time conformable fractional perturbed Gerdjikov-Ivanov equation by sine-Gordon equation method

This paper devotes to conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation which appears in nonlinear fiber optics and photonic crystal fibers (PCF). We consider the model with full nonlinearity in order to give a generalized flavor. The sine-Gordon equation approach is carried...

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Bibliographic Details
Published inResults in physics Vol. 9; pp. 1666 - 1672
Main Authors Yaşar, Elif, Yıldırım, Yakup, Yaşar, Emrullah
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2018
Elsevier
Subjects
Conformable fractional derivative
Gerdjikov-Ivanov equation
sine-Gordon equation method
Solitons
Gerdjikov-Ivanov equation
sine-Gordon equation method
Conformable fractional derivative
Solitons
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Summary:This paper devotes to conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation which appears in nonlinear fiber optics and photonic crystal fibers (PCF). We consider the model with full nonlinearity in order to give a generalized flavor. The sine-Gordon equation approach is carried out to model equation for retrieving the dark, bright, dark-bright, singular and combined singular optical solitons. The constraint conditions are also reported for guaranteeing the existence of these solitons. We also present some graphical simulations of the solutions for better understanding the physical phenomena of the behind the considered model.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2018.04.058