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Optical solitons with spatially-dependent coefficients by Lie symmetry

Q. ZHOU1,2, Q. ZHU1, A. H. BHRAWY3,4, L. MORARU5, A. BISWAS4,6,*

Affiliation

  1. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  2. School of Physics and Technology, Wuhan University, Wuhan, 430072, P.R. China
  3. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
  4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  5. Department of Chemistry, Physics and Environment, University Dunarea de Jos Galati, 111 Domneasca Street, 800201 Galati, Romania
  6. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Abstract

The optical solitons in media with space-modulated dispersion and non-Kerr law nonlinearity have been investigated analytically by employing the Lie group method. Lie symmetries and canonical transformations are obtained. Four laws of nonlinearity that are Kerr law, parabolic law, power law and dual-power law are considered..

Keywords

Solitons, Nonlinear Schrödinger Eq., Non-Kerr law nonlinearity, Lie symmetries, Canonical transformation.

Citation

Q. ZHOU, Q. ZHU, A. H. BHRAWY, L. MORARU, A. BISWAS, Optical solitons with spatially-dependent coefficients by Lie symmetry, Optoelectronics and Advanced Materials - Rapid Communications, 8, 7-8, July-August 2014, pp.800-803 (2014).

Submitted at: May 27, 2014

Accepted at: July 10, 2014