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Optical solitons under competing weakly nonlocal nonlinearity and cubic-quintic nonlinearities

GANGWEI WANG1, MOHAMMAD MIRZAZADEH2, MIN YAO3, QIN ZHOU3,*

Affiliation

  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People's Republic of China
  2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China

Abstract

We present an analytic study on solitons in a nonlocal nonlinear medium. There are three types of competing nonlinearities that are taken into account in our model. They are weakly nonlocal nonlinearity, cubic nonlinearity and quintic nonlinearity. By means of the Lie symmetry analysis, we report the bright and dark solitons and their respective existence conditions..

Keywords

Solitons, Nonlocal nonlinearity, Lie symmetry analysis.

Citation

GANGWEI WANG, MOHAMMAD MIRZAZADEH, MIN YAO, QIN ZHOU, Optical solitons under competing weakly nonlocal nonlinearity and cubic-quintic nonlinearities, Optoelectronics and Advanced Materials - Rapid Communications, 10, 11-12, November–December 2016, pp.807-810 (2016).

Submitted at: Aug. 12, 2016

Accepted at: Nov. 25, 2016