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Thirring optical solitons in birefringent fibers with parabolic law nonlinearity

ALI SARDAR1, SYED TAHIR RAZA RIZVI2, MUHAMMAD YOUNIS3, DANIELA MILOVIC4, FAYEQUA B. MAJID5, ANJAN BISWAS6,7,* , MILIVOJ BELIC8

Affiliation

  1. Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan
  2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan
  3. Center for Undergraduate Studies, University of the Punjab, 54590 Lahore, Pakistan
  4. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia
  5. Department of Physics, Chemistry and Mathematics, Alabama A & M University, Normal, AL-35811, USA
  6. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  7. Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah-21589, Saudi Arabia
  8. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper obtains dark and singular soliton solutions to Thirring model that is studied with parabolic law nonlinearity. The integration scheme employed is (G’/G)-expansion method. Apart from soliton solutions, singular periodic solutions and plane wave solutions are also obtained as a byproduct. The constraint conditions hold these solitons in place..

Keywords

Thirring solitons, Integrability, Parabolic law.

Citation

ALI SARDAR, SYED TAHIR RAZA RIZVI, MUHAMMAD YOUNIS, DANIELA MILOVIC, FAYEQUA B. MAJID, ANJAN BISWAS, MILIVOJ BELIC, Thirring optical solitons in birefringent fibers with parabolic law nonlinearity, Optoelectronics and Advanced Materials - Rapid Communications, 10, 5-6, May-June 2016, pp.327-331 (2016).

Submitted at: March 25, 2015

Accepted at: June 9, 2016