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Optical soliton perturbation with extended tanh function method

ANJAN BISWAS1,2,* , H. MOOSAEI3, M. ESLAMI4, M. MIRZAZADEH5, QIN ZHOU6,7, A. H. BHRAWY2,8

Affiliation

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  2. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  3. Department of Mathematics, Faculty of Science, University of Bojnord, Bojnord, Iran
  4. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
  5. Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
  6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P.R. China
  7. School of Physics and Technology, Wuhan University, Wuhan 430072, P.R. China
  8. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, 62511 Egypt

Abstract

This paper applies extended tanh-function algorithm to obtain soliton solutions. The governing equation is the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. Both topological and singular soliton solutions are obtained. There are other solutions that fall out as a by-product. These are singular periodic solutions and complexiton solutions to the model. The constraint conditions are listed for the solitons to exist..

Keywords

Solitons, Integrability, Tanh method.

Citation

ANJAN BISWAS, H. MOOSAEI, M. ESLAMI, M. MIRZAZADEH, QIN ZHOU, A. H. BHRAWY, Optical soliton perturbation with extended tanh function method, Optoelectronics and Advanced Materials - Rapid Communications, 8, 11-12, November-December 2014, pp.1029-1034 (2014).

Submitted at: Aug. 11, 2014

Accepted at: Nov. 13, 2014