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

R. Ondoua, C. Tabi (), H. Ekobena Fouda, A. Mohamadou and T. Kofané

The European Physical Journal B: Condensed Matter and Complex Systems, 2012, vol. 85, issue 9, 1-6

Abstract: 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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1140/epjb/e2012-21076-5

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