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

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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.

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Authors and Affiliations

  1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    R. Y. Ondoua, C. B. Tabi, H. P. Ekobena Fouda & A. Mohamadou

  2. The African Institute for Mathematical Sciences, 6-8 Melrose Rd, 7945, Muizenberg, South Africa

    C. B. Tabi

  3. Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon

    A. Mohamadou

  4. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    T. C. Kofané

Authors
  1. R. Y. Ondoua
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  2. C. B. Tabi
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  3. H. P. Ekobena Fouda
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  4. A. Mohamadou
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  5. T. C. Kofané
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Correspondence to C. B. Tabi.

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Ondoua, R.Y., Tabi, C.B., Ekobena Fouda, H.P. et al. Discrete energy transport in the perturbed Ablowitz-Ladik equation for Davydov model of α-helix proteins. Eur. Phys. J. B 85, 318 (2012). https://doi.org/10.1140/epjb/e2012-21076-5

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  • DOI: https://doi.org/10.1140/epjb/e2012-21076-5

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