Modulational Instability of Two-Component Peyrard-Bishop-Dauxois Model

Journal article

Authors/Editors

Tabi, Condrad

Research Areas

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Publication Details

Author list: Toko D, Mohamadou A, Tabi CB, Kofane TC

Publisher: American Scientific Publishers

Place: VALENCIA

Publication year: 2011

Journal acronym: J COMPUT THEOR NANOS

Volume number: 8

Issue number: 9

Start page: 1776

End page: 1783

Number of pages: 8

ISSN: 1546-1955

eISSN: 1546-1963

Languages: English-Great Britain (EN-GB)

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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 Schrodinger 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.

Keywords

Coupled Nonlinear Schrodinger Equations, DNA, Modulational instability, Peyrad-Bishop-Dauxois Model

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