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Dark and singular solitons of Kundu-Eckhaus equation for optical fibers

JOSE VEGA-GUZMAN1, M. F. MAHMOOD1, DANIELA MILOVIC2, ESSAID ZERRAD3, ANJAN BISWAS4,5,* , MILIVOJ BELIC6

Affiliation

  1. Department of Mathematics, Howard University, Washington, DC-20059, USA
  2. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia
  3. Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA
  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 obtains dark and singular soliton solutions of Kundu-Eckhaus equation by the ansatz method. There are constraint conditions that fall out and these conditions guarantee the existence of such solitons..

Keywords

Solitons, Integrability, Quadratic law.

Citation

JOSE VEGA-GUZMAN, M. F. MAHMOOD, DANIELA MILOVIC, ESSAID ZERRAD, ANJAN BISWAS, MILIVOJ BELIC, Dark and singular solitons of Kundu-Eckhaus equation for optical fibers, Optoelectronics and Advanced Materials - Rapid Communications, 9, 11-12, November-December 2015, pp.1353-1355 (2015).

Submitted at: April 16, 2015

Accepted at: Oct. 28, 2015