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Bifurcation analysis and bright soliton of generalized resonant dispersive nonlinear Schrödinger’s equation

MOHAMMAD MIRZAZADEH1, QIN ZHOU2, ESSAID ZERRAD3, MOHAMMAD F. MAHMOOD4, ANJAN BISWAS5,6,* , MILIVOJ BELIC7

Affiliation

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, P.R. China
  3. Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA
  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 carries out bifurcation analysis of the generalized resonant dispersive nonlinear Schrödinger’s equation. This lead to the retrieval of bright 1-soliton solution to the model equation along with singular periodic solutions. There are constraint conditions in place that guarantees existence of the soliton..

Keywords

Solitons, Integrability, Bifurcation.

Citation

MOHAMMAD MIRZAZADEH, QIN ZHOU, ESSAID ZERRAD, MOHAMMAD F. MAHMOOD, ANJAN BISWAS, MILIVOJ BELIC, Bifurcation analysis and bright soliton of generalized resonant dispersive nonlinear Schrödinger’s equation, Optoelectronics and Advanced Materials - Rapid Communications, 9, 11-12, November-December 2015, pp.1342-1346 (2015).

Submitted at: March 26, 2015

Accepted at: Oct. 28, 2015