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

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

doi:10.1166/jctn.2011.1882

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

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

Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1776-1783
Number of pages	8
Journal	Journal of Computational and Theoretical Nanoscience
Volume	8
Issue number	9
DOIs	https://doi.org/10.1166/jctn.2011.1882
Publication status	Published - Sept 2011

All Science Journal Classification (ASJC) codes

General Chemistry
General Materials Science
Condensed Matter Physics
Computational Mathematics
Electrical and Electronic Engineering

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10.1166/jctn.2011.1882

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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 Schr{\"o}dinger 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.",

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AB - 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.

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

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