Modulational instability of two-component peyrard-bishop-dauxois model

Donatien Toko, Alidou Mohamadou, Conrad B. Tabi, Timoleon C. Kofane

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The dynamics of two counter-propagating waves in the Peyrad-Bishop-Dauxois model is investigated. We show using the reductive perturbation method that the dynamics of the system can be described by a set of coupled nonlinear Schrödinger equations. The relevant MI scenarios are explored and we note that the system is stable under the modulation for certain parameter values of the Peyrad-Bishop-Dauxois model. We also point out the impact of the group velocity on the stability of the system.

Original languageEnglish
Pages (from-to)1776-1783
Number of pages8
JournalJournal of Computational and Theoretical Nanoscience
Volume8
Issue number9
DOIs
Publication statusPublished - Sep 1 2011

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Modulational Instability
Nonlinear equations
group velocity
nonlinear equations
counters
Group Velocity
Modulation
Perturbation Method
modulation
perturbation
Nonlinear Equations
Model
Scenarios

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

Toko, Donatien ; Mohamadou, Alidou ; Tabi, Conrad B. ; Kofane, Timoleon C. / Modulational instability of two-component peyrard-bishop-dauxois model. In: Journal of Computational and Theoretical Nanoscience. 2011 ; Vol. 8, No. 9. pp. 1776-1783.
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Modulational instability of two-component peyrard-bishop-dauxois model. / Toko, Donatien; Mohamadou, Alidou; Tabi, Conrad B.; Kofane, Timoleon C.

In: Journal of Computational and Theoretical Nanoscience, Vol. 8, No. 9, 01.09.2011, p. 1776-1783.

Research output: Contribution to journalArticle

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