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Solitons in optical metamaterials with parabolic law nonlinearity and spatio-temporal dispersion

QIN ZHOU1,2, QIUPING ZHU1, YAXIAN LIU1, A. BISWAS3,4,* , A. H. BHRAWY4,5, KAISAR R. KHAN6, M. F. MAHMOOD7, M. BELIC8

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 Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  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 62511, Egypt
  6. Department of Electrical Engineering and Computer Science, McNeese State University, Lake Charles, LA-70609, USA
  7. Department of Mathematics, Howard University, Washington, DC-20059, USA
  8. Science Program, Texas A & M University at Qatar, Doha, Qatar

Abstract

This work studies the optical solitons in optical nonlinear metamaterials. The parabolic law nonlinearity, spatio-temporal dispersion, inter-modal dispersion, self-steepening as well as nonlinear dispersion are taken into account. Two integration approaches that are Ricatti equation expansion method and ansatz scheme are adopted to obtain optical solitons. Finally, analytical dark soliton, bright soliton, singular soliton as well as singular periodic solutions are reported. The corresponding constraint conditions in order for these exact solutions to exist are derived..

Keywords

Solitons, Metamaterials, Parabolic law nonlinearity, Spatio-temporal dispersion, Inter-modal dispersion.

Submitted at: Sept. 16, 2014
Accepted at: Nov. 13, 2014

Citation

QIN ZHOU, QIUPING ZHU, YAXIAN LIU, A. BISWAS, A. H. BHRAWY, KAISAR R. KHAN, M. F. MAHMOOD, M. BELIC, Solitons in optical metamaterials with parabolic law nonlinearity and spatio-temporal dispersion, Journal of Optoelectronics and Advanced Materials Vol. 16, Iss. 11-12, pp. 1221-1225 (2014)