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Dispersive optical solitons with Schrödinger-Hirota equation by traveling wave hypothesis

I. BERNSTEIN1, E. ZERRAD1, Q. ZHOU2, A. BISWAS3,* , N MELIKECHI4

Affiliation

  1. Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA
  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. College of Mathematics, Natural Sciences and Technology, Delaware State University, Dover, DE 19901-2277, USA

Abstract

This paper studies dispersive optical solitons, governed by Schrödinger-Hirota equation by the aid of traveling wave hypothesis. The spatio-temporal dispersion term is included, in addition to group velocity dispersion, to make the problem well-posed. Bright soliton solutions are retrieved along with constraint conditions for these solitons to exist. Both Kerr and power laws of nonlinearity are studied..

Keywords

Solitons, Dispersion, Traveling waves.

Citation

I. BERNSTEIN, E. ZERRAD, Q. ZHOU, A. BISWAS, N MELIKECHI, Dispersive optical solitons with Schrödinger-Hirota equation by traveling wave hypothesis, Optoelectronics and Advanced Materials - Rapid Communications, 9, 5-6, May-June 2015, pp.792-797 (2015).

Submitted at: Jan. 12, 2015

Accepted at: May 7, 2015