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Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and Kerr law nonlinearity

ANJAN BISWAS1,* , KAISAR R. KHAN2, ATIQUR RAHMAN3, AHMET YILDIRIM4,5, T. HAYAT6,7, OMAR M. ALDOSSARY7

Affiliation

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  2. School of Applied Technology, Humber College, North Campus, Toronto, ON M9W 5L7, Canada
  3. Faculty of Information and Communication Engineering Technology, Centennial College, Toronto, ON M1 3T8, Canada
  4. Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
  5. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
  6. Department of Mathematics, Quaid-i-Azam University, Islamabad-44000, Pakistan
  7. Department of Physics, King Saud University, P. O. Box 2455, Riyadh-11451, Saudi Arabia

Abstract

This paper obtains the 1-soliton solution of birefringent fibers, with Kerr law nonlinearity, in presence of perturbation terms. The perturbation terms that are studied are the inter-modal dispersion, third order dispersion, self-steepening term and nonlinear dispersion. Both bright and dark soliton solutions are considered. There are several constraint conditions that fall out during the course of derivation of the soliton solutions. The numerical simulations are also provided..

Keywords

1-soliton solution of birefringent fibers, Kerr law nonlinearity, Bright and dark soliton solutions.

Submitted at: Dec. 17, 2011
Accepted at: July 19, 2012

Citation

ANJAN BISWAS, KAISAR R. KHAN, ATIQUR RAHMAN, AHMET YILDIRIM, T. HAYAT, OMAR M. ALDOSSARY, Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and Kerr law nonlinearity, Journal of Optoelectronics and Advanced Materials Vol. 14, Iss. 7-8, pp. 571-576 (2012)