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Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

SACHIN KUMAR1, QIN ZHOU2,* , ANJAN BISWAS3,4, MILIVOJ BELIC5

Affiliation

  1. Centre of Mathematics & Statistics, School of Basic and Applied Sciences, Central University of Punjab, City Campus, Mansa Road, Bathinda-151001, India
  2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, 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. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented..

Keywords

Solitons, Kundu-Eckhaus (KE) equation, Lie classical method.

Citation

SACHIN KUMAR, QIN ZHOU, ANJAN BISWAS, MILIVOJ BELIC, Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis, Optoelectronics and Advanced Materials - Rapid Communications, 10, 1-2, January-February 2016, pp.21-24 (2016).

Submitted at: Dec. 1, 2015

Accepted at: Feb. 10, 2016