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Optical solitons with resonant nonlinear Schrödinger’s equation using G’/G-expansion scheme

AHMED HASSAN ARNOUS1, MOHAMMAD MIRZAZADEH2, QIN ZHOU3, MOHAMMAD F. MAHMOOD4, ANJAN BISWAS5,6,* , MILIVOJ BELIC7

Affiliation

  1. Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt
  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  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 implements G’/G-expansion scheme to retrieve soliton solution to the resonant nonlinear Schrödinger’s equation. Both cubic form and power law nonlinearity are considered in this paper. The results appear with constraint conditions that guarantee the existence of these solitons. As a byproduct, singular periodic solutions are revealed..

Keywords

Solitons, Integrability, G’/G-expansion.

Citation

AHMED HASSAN ARNOUS, MOHAMMAD MIRZAZADEH, QIN ZHOU, MOHAMMAD F. MAHMOOD, ANJAN BISWAS, MILIVOJ BELIC, Optical solitons with resonant nonlinear Schrödinger’s equation using G’/G-expansion scheme, Optoelectronics and Advanced Materials - Rapid Communications, 9, 9-10, September-October 2015, pp.1214-1220 (2015).

Submitted at: Feb. 13, 2015

Accepted at: Sept. 9, 2015