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Optical solitons in birefringent fibers with Riccati equation method

MOHAMMAD MIRZAZADEH1, MOHAMMAD F. MAHMOOD2, FAYEQUA B. MAJID3, ANJAN BISWAS4,5,* , MILIVOJ BELIC6

Affiliation

  1. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
  2. Department of Mathematics, Howard University, Washington, DC-20059, USA
  3. Department of Physics, Chemistry & Mathematics, Alabama A & M University, Normal, AL-35762, USA
  4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  5. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  6. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper addresses optical solitons in birefringent fibers with Kerr law nonlinearity, in presence of perturbation terms and spatio-temporal dispersion. The Riccati equation expansion algorithm is applied to secure soliton solutions to the model. Dark and singular soliton solutions are obtained for both components of the model. Additional solutions revealed, with this algorithm, are plane waves and singular periodic solutions. These are obtained as a byproduct and are not applicable to birefringent fibers..

Keywords

Birefringence, Integrability, Solitons.

Citation

MOHAMMAD MIRZAZADEH, MOHAMMAD F. MAHMOOD, FAYEQUA B. MAJID, ANJAN BISWAS, MILIVOJ BELIC, Optical solitons in birefringent fibers with Riccati equation method, Optoelectronics and Advanced Materials - Rapid Communications, 9, 7-8, July-August 2015, pp.1032-1036 (2015).

Submitted at: Jan. 30, 2015

Accepted at: June 24, 2015