TY - JOUR
T1 - Localized breather-like excitations in the helicoidal Peyrard-Bishop model of DNA
AU - Tabi, Conrad Bertrand
AU - Mohamadou, Alidou
AU - Kofane, Timoleon Crepin
PY - 2009/12/1
Y1 - 2009/12/1
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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U2 - 10.1142/S1793524509000777
DO - 10.1142/S1793524509000777
M3 - Article
AN - SCOPUS:77954948261
SN - 1793-5245
VL - 2
SP - 405
EP - 417
JO - International Journal of Biomathematics
JF - International Journal of Biomathematics
IS - 4
ER -