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Bright solitons in optical metamaterials by traveling wave hypothesis

YANAN XU1, QIN ZHOU2,3, ALI H. BHRAWY4,5, KAISAR R. KHAN6, M. F. MAHMOOD7, ANJAN BISWAS1,4,* , MILIVOJ BELIC8

Affiliation

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  3. School of Physics and Technology, Wuhan University, Wuhan, 430072, P.R. China
  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 70605
  7. Department of Mathematics, Howard University, Washington, DC-20059, USA
  8. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper obtains bright 1-soliton solutions in optical metamaterials by the aid of traveling wave hypothesis. There are three types of nonlinear media that are considered. They are Kerr law, parabolic law and log law nonlinearity. There are several constraint relations that are obtained for soliton solutions to exist..

Keywords

Solitons, Metamaterials, Integrability, Traveling waves.

Citation

YANAN XU, QIN ZHOU, ALI H. BHRAWY, KAISAR R. KHAN, M. F. MAHMOOD, ANJAN BISWAS, MILIVOJ BELIC, Bright solitons in optical metamaterials by traveling wave hypothesis, Optoelectronics and Advanced Materials - Rapid Communications, 9, 3-4, March-April 2015, pp.384-387 (2015).

Submitted at: Nov. 11, 2014

Accepted at: March 19, 2015