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

Author

Listed:
  • R. Ondoua
  • C. Tabi
  • H. Ekobena Fouda
  • A. Mohamadou
  • T. Kofané

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

Suggested Citation

  • R. Ondoua & C. Tabi & H. Ekobena Fouda & A. Mohamadou & T. Kofané, 2012. "Discrete energy transport in the perturbed Ablowitz-Ladik equation for Davydov model of α-helix proteins," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:85:y:2012:i:9:p:1-6:10.1140/epjb/e2012-21076-5
    DOI: 10.1140/epjb/e2012-21076-5
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    Cited by:

    1. Tabi, Conrad Bertrand, 2018. "Fractional unstable patterns of energy in α−helix proteins with long-range interactions," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 386-391.

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    Keywords

    Statistical and Nonlinear Physics;

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