LOCALIZED BREATHER-LIKE EXCITATIONS IN THE HELICOIDAL PEYRARD-BISHOP MODEL OF DNA

Journal article

Authors / Editors

Tabi, Condrad

Research Areas

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Publication Details

Author list: Tabi CB, Mohamadou A, Kofane TC

Publisher: World Scientific Publishing

Place: SINGAPORE

Publication year: 2009

Journal: International Journal of Biomathematics (1793-5245)

Journal acronym: INT J BIOMATH

Volume number: 2

Issue number: 4

Start page: 405

End page: 417

Number of pages: 13

ISSN: 1793-5245

eISSN: 1793-7159

Languages: English-Great Britain (EN-GB)

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Abstract

We consider the one-dimensional helicoidal Peyrard-Bishop (PB) model of DNA dynamics. By means of a method based on the Jacobian elliptic functions, we obtain the exact analytical solution which describes the modulational instability and the propagation of a bright solitary wave on a continuous wave background. It is shown that these solutions depend on the modulational (or Benjamin-Feir) instability criterion. Numerical simulations of their propagation show these excitations to be long-lived and suggest that they are physically relevant for DNA.

Keywords

DNA, Jacobian elliptic functions, NLS equation, PB model, solitons

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