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Optical solitons with quadratic nonlinearity by Lie symmetry analysis

SACHIN KUMAR1, MICHELLE SAVESCU2, QIN ZHOU3, ANJAN BISWAS4,5,* , MILIVOJ BELIC6

Affiliation

  1. School of Mathematics and Computer Applications, Thapar University, Patiala-147004, Punjab, India
  2. Department of Mathematics, Kuztown University of Pennsylvania, 15200 Kutztown Road, Kuztown, PA-19530, USA
  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  5. Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah-21589, Saudi Arabia
  6. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and intermodal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach..

Keywords

Quadratic nonlinearity, Lie symmetry, Singular solitons.

Citation

SACHIN KUMAR, MICHELLE SAVESCU, QIN ZHOU, ANJAN BISWAS, MILIVOJ BELIC, Optical solitons with quadratic nonlinearity by Lie symmetry analysis, Optoelectronics and Advanced Materials - Rapid Communications, 9, 11-12, November-December 2015, pp.1347-1352 (2015).

Submitted at: March 10, 2015

Accepted at: Oct. 28, 2015