Abstract
We report on the analytical and numerical investigation of modulational instability in discrete nonlinear chains, taking the Peyrard-Bishop model of DNA dynamics as an example. It is shown that the original difference differential equation for the DNA dynamics can be reduced to the discrete complex Ginzburg-Landau equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave number fall in the instability domain. We also show that, modulational instability leads to spontaneous localization of energy in DNA molecule.
| Original language | English |
|---|---|
| Pages (from-to) | 647-654 |
| Number of pages | 8 |
| Journal | Journal of Computational and Theoretical Nanoscience |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 1 2008 |
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All Science Journal Classification (ASJC) codes
- Chemistry(all)
- Materials Science(all)
- Condensed Matter Physics
- Computational Mathematics
- Electrical and Electronic Engineering
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Modulational instability and pattern formation on DNA dynamics with viscosity. / Tabi, Conrad B.; Mohamadou, Alidou; Kofané, Timoléon C.
In: Journal of Computational and Theoretical Nanoscience, Vol. 5, No. 4, 01.04.2008, p. 647-654.Research output: Contribution to journal › Article
TY - JOUR
T1 - Modulational instability and pattern formation on DNA dynamics with viscosity
AU - Tabi, Conrad B.
AU - Mohamadou, Alidou
AU - Kofané, Timoléon C.
PY - 2008/4/1
Y1 - 2008/4/1
N2 - We report on the analytical and numerical investigation of modulational instability in discrete nonlinear chains, taking the Peyrard-Bishop model of DNA dynamics as an example. It is shown that the original difference differential equation for the DNA dynamics can be reduced to the discrete complex Ginzburg-Landau equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave number fall in the instability domain. We also show that, modulational instability leads to spontaneous localization of energy in DNA molecule.
AB - We report on the analytical and numerical investigation of modulational instability in discrete nonlinear chains, taking the Peyrard-Bishop model of DNA dynamics as an example. It is shown that the original difference differential equation for the DNA dynamics can be reduced to the discrete complex Ginzburg-Landau equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave number fall in the instability domain. We also show that, modulational instability leads to spontaneous localization of energy in DNA molecule.
UR - http://www.scopus.com/inward/record.url?scp=44649190592&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=44649190592&partnerID=8YFLogxK
U2 - 10.1166/jctn.2008.031
DO - 10.1166/jctn.2008.031
M3 - Article
VL - 5
SP - 647
EP - 654
JO - Journal of Computational and Theoretical Nanoscience
JF - Journal of Computational and Theoretical Nanoscience
SN - 1546-1955
IS - 4
ER -