Discrete energy transport in the perturbed Ablowitz-Ladik equation for Davydov model of α-helix proteins

被引：0
|
作者：
R. Y. Ondoua
C. B. Tabi
H. P. Ekobena Fouda
A. Mohamadou
T. C. Kofané
机构：
[1] University of Yaoundé I,Laboratory of Biophysics, Department of Physics, Faculty of Science
[2] The African Institute for Mathematical Sciences,Condensed Matter Laboratory, Department of Physics, Faculty of Science
[3] University of Douala,Laboratory of Mechanics, Department of Physics, Faculty of Science
[4] University of Yaoundé I,undefined
来源：
The European Physical Journal B | 2012年 / 85卷
关键词：
Statistical and Nonlinear Physics;
D O I：
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摘要：
The modulational instability of a plane wave for the perturbed non-integrable Ablowitz-Ladik equation for α-helix proteins is analyzed. Through the linear stability analysis, we observe that the presence of additional terms in the Ablowitz-Ladik equation tends to suppress modulational instability. Numerical simulations are performed in order to verify our analytical predictions. The presence of extended terms in the Ablowitz-Ladik equation tends to compactify and split the emerging localized structures. Particular attention is paid to the emergence of multi-hump structures, and the biological relevance of the latter is discussed.
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