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Optical solitons with quadratic nonlinearity and spatio-temporal dispersion

M. SAVESCU1,2, E. M. HILAL3, A. A. ALSHAERY3, A. H. BHRAWY4,5, L. MORARU6, A. BISWAS1,4,*

Affiliation

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  2. Department of Mathematics, Kuztown University of Pennsylvania, 15200 Kutztown Road, Kuztown, PA-19530, USA
  3. Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
  4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  5. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
  6. Department of Chemistry, Physics and Environment University Dunarea de Jos Galati, 111 Domneasca Street, 800201 Galati, Romania

Abstract

This paper studies bright, dark and singular soliton solutions to quadratic nonlinear media in presence of spatio-temporal dispersion as well as inter-modal dispersion. Exact 1-soliton solution is obtained. There are several constraints that will naturally fall out during the course of derivation of the soliton solution. These constraint conditions must hold in order for the solitons to exist..

Keywords

Quadratic nonlinearity, Solitons, Constraints, Integrability.

Submitted at: Jan. 11, 2014
Accepted at: May 15, 2014

Citation

M. SAVESCU, E. M. HILAL, A. A. ALSHAERY, A. H. BHRAWY, L. MORARU, A. BISWAS, Optical solitons with quadratic nonlinearity and spatio-temporal dispersion, Journal of Optoelectronics and Advanced Materials Vol. 16, Iss. 5-6, pp. 619-623 (2014)