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Optical solitons of generalized resonant dispersive nonlinear Schrödinger’s equation with power law nonlinearity

MOHAMMAD MIRZAZADEH1, QIN ZHOU2, ANJAN BISWAS3,4,* , MILIVOJ BELIC5

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 Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
  4. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  5. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar

Abstract

This paper obtains soliton and other solutions to the generalized resonant dispersive nonlinear Schrödinger’s equation with power law nonlinearity by the aid of trial solution method. Bright and singular soliton solutions are obtained. In addition, as a byproduct singular periodic solutions are also reported that naturall fall out of the integration scheme that is implemented in this paper..

Keywords

Solitons, Integrability, Trial solution.

Citation

MOHAMMAD MIRZAZADEH, QIN ZHOU, ANJAN BISWAS, MILIVOJ BELIC, Optical solitons of generalized resonant dispersive nonlinear Schrödinger’s equation with power law nonlinearity, Optoelectronics and Advanced Materials - Rapid Communications, 9, 9-10, September-October 2015, pp.1100-1103 (2015).

Submitted at: Jan. 31, 2015

Accepted at: Sept. 9, 2015