Optical solitons of some fractional differential equations in nonlinear optics

Abstract

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.

Keywords:

• Solitons
• conformable time fractional symmetric BBM equation
• conformable time fractional EW equation
• extended Jacobi’s elliptic function expansion scheme

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Science Foundation for Young Scientists of Wuhan Donghu University under the grant number 2017dhzk001.