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

Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane

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4 Citations (Scopus)


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 languageEnglish
Pages (from-to)405-417
Number of pages13
JournalInternational Journal of Biomathematics
Issue number4
Publication statusPublished - Dec 1 2009

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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