Localized breather-like excitations in the helicoidal Peyrard-Bishop model of DNA

Conrad Bertrand Tabi; Alidou Mohamadou; Timoleon Crepin Kofane

doi:10.1142/S1793524509000777

Localized breather-like excitations in the helicoidal Peyrard-Bishop model of DNA

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane

Physics & Astronomy

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

4 Citations (Scopus)

Abstract

We consider the one-dimensional helicoidal PeyrardBishop (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.

Original language	English
Pages (from-to)	405-417
Number of pages	13
Journal	International Journal of Biomathematics
Volume	2
Issue number	4
DOIs	https://doi.org/10.1142/S1793524509000777
Publication status	Published - Dec 2009

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Applied Mathematics

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abstract = "We consider the one-dimensional helicoidal PeyrardBishop (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.",

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AU - Tabi, Conrad Bertrand

AU - Mohamadou, Alidou

AU - Kofane, Timoleon Crepin

PY - 2009/12

Y1 - 2009/12

N2 - We consider the one-dimensional helicoidal PeyrardBishop (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.

AB - We consider the one-dimensional helicoidal PeyrardBishop (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.

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JF - International Journal of Biomathematics

IS - 4

ER -

Localized breather-like excitations in the helicoidal Peyrard-Bishop model of DNA

Abstract

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