https://doi.org/10.1140/epjb/e2012-21076-5
Regular Article
Discrete energy transport in the perturbed Ablowitz-Ladik equation for Davydov model of α-helix proteins
1
Laboratory of BiophysicsDepartment of Physics, Faculty of Science,
University of Yaoundé I, P.O. Box
812
Yaoundé, Cameroon
2
The African Institute for Mathematical Sciences,
6-8 Melrose Rd, 7945
Muizenberg, South
Africa
3
Condensed Matter Laboratory, Department of Physics, Faculty of
Science, University of Douala, P.O. Box 24157, Douala, Cameroon
4
Laboratory of Mechanics, Department of Physics, Faculty of
Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
a e-mail: contab408@hotmail.com
Received:
26
December
2011
Received in final form:
19
June
2012
Published online:
24
September
2012
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012
