A simple ansatz for obtaining exact solutions of high dispersive nonlinear Schrödinger equations in fiber Bragg gratings

Kamel Mezghiche, F. Azzouzi and A. El-Akrmi

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 491-496

Abstract: We present solitary wave solutions for the perturbed nonlinear Schrödinger (PNLS) equation describing propagation of femtosecond light pulses through the fiber Bragg grating structure where the pulse dynamics is governed by the nonlinear-coupled mode (NLCM) equations. Using the multiple scale analysis, we reduce the NLCM equations into the perturbed nonlinear Schrödinger (PNLS) type equation. Unlike the reported solitary wave solutions of the PNLS equation, the novel ones can describe bright and dark Bragg solitons properties in the same expressions and their amplitude may approach nonzero when the time variable approaches infinity. Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in fiber Bragg grating.

Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077908000714
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:491-496

DOI: 10.1016/j.chaos.2008.02.013

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().