Optical solitons of some fractional differential equations in nonlinear optics

Zhou Q., SÖNMEZOĞLU A., EKİCİ M., Mirzazadeh M.

JOURNAL OF MODERN OPTICS, vol.64, no.21, pp.2345-2349, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 21
  • Publication Date: 2017
  • Doi Number: 10.1080/09500340.2017.1357856
  • Journal Name: JOURNAL OF MODERN OPTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2345-2349
  • Keywords: Solitons, conformable time fractional symmetric BBM equation, conformable time fractional EW equation, extended Jacobi's elliptic function expansion scheme, TUNGSTEN DISULFIDE
  • Yozgat Bozok University Affiliated: Yes

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.