Optical solitons of some fractional differential equations in nonlinear optics

This paper deals with two different forms of the conformable fractional Benjamin-Bona-Mahony (BBM) equations by an analytical method. These physical models have important applications for describing the propagation of optical pulses in non-linear media. The conformable fractional symmetric BBM equat...

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Bibliographic Details
Published inJournal of modern optics Vol. 64; no. 21; pp. 2345 - 2349
Main Authors Zhou, Qin, Sonmezoglu, Abdullah, Ekici, Mehmet, Mirzazadeh, Mohammad
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 30.11.2017
Taylor & Francis Ltd
Subjects
conformable time fractional EW equation
conformable time fractional symmetric BBM equation
Differential equations
Elliptic functions
extended Jacobi's elliptic function expansion scheme
Nonlinear equations
Nonlinear optics
Optical pulses
Pulse propagation
Solitary waves
Solitons
X-rays
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Summary:This paper deals with two different forms of the conformable fractional Benjamin-Bona-Mahony (BBM) equations by an analytical method. These physical models have important applications for describing the propagation of optical pulses in non-linear media. The conformable fractional symmetric BBM equation and the conformable time fractional Equal-width (EW) equation are considered. The extended Jacobi's elliptic function expansion scheme are used to extract explicit solitons.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2017.1357856