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Solitons in optical metamaterials by mapping method

E. V. KRISHNAN1, M. AL GHABSHI1, Q. ZHOU2, K. R. KHAN3, M. F. MAHMOOD4, YANAN XU5, ANJAN BISWAS5,6,* , M. BELIC7

Affiliation

  1. Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Oman
  2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  3. Department of Electrical Engineering and Computer Science, McNeese State University, Lake Charles, LA-70605
  4. Department of Mathematics, Howard University, Washington, DC-20059, USA
  5. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  6. Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah-21589, Saudi Arabia
  7. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper studies solitons in optical metamaterials by the aid of mapping method. There are two types of nonlinear media taken into consideration. They are Kerr law and parabolic law nonlinearity. The constraint conditions, on the parameters, that needs to hold for the solitons to exist, are also listed..

Keywords

solitons; integrability; metamaterials; mapping method.

Submitted at: Feb. 2, 2015
Accepted at: March 19, 2015

Citation

E. V. KRISHNAN, M. AL GHABSHI, Q. ZHOU, K. R. KHAN, M. F. MAHMOOD, YANAN XU, ANJAN BISWAS, M. BELIC, Solitons in optical metamaterials by mapping method, Journal of Optoelectronics and Advanced Materials Vol. 17, Iss. 3-4, pp. 511-516 (2015)