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

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

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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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All Science Journal Classification (ASJC) codes

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

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