Soliton Solutions of a Nonlinear Fractional Sasa-Satsuma Equation in Monomode Optical Fibers

Authors

D. Baleanu, Department of Mathematics, Cankaya University, O ̈ gˇretmenler Cad. 1406530, Ankara, Tu ̈rkiye\\Institute of Space Sciences, Magurele, Bucharest, RomaniaFollow
M. S. Osman, Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt\\Department of Mathematics, Faculty of Applied Science, Umm Alqurah University, Makkah 21955, Saudi ArabiaFollow
Asad Zubair, Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanFollow
Nauman Raza, Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanFollow
Omar Abu Arqub, Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, JordanFollow
Wen-Xiu Ma, Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China\\Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia\\Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA\\School of Mathematics, South China University of Technology, Guamgazhou 510640, China\\College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China\\Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South AfricaxFollow

Author Country (or Countries)

Romania

Abstract

This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140302

Recommended Citation

Baleanu, D.; S. Osman, M.; Zubair, Asad; Raza, Nauman; Abu Arqub, Omar; and Ma, Wen-Xiu (2020) "Soliton Solutions of a Nonlinear Fractional Sasa-Satsuma Equation in Monomode Optical Fibers," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 2.
DOI: http://dx.doi.org/10.18576/amis/140302
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/2