Abstract
It is shown that, in the weak amplitude and slow time limits, the dynamics of a damped onedimensional lattice is governed by the modified complex Ablowitz-Ladik (MCAL) equation. We conduct a theoretical analysis of the linear stability based on the MCAL equation, obtaining the modulational instability (Ml) criterion. We show that, if the wave amplitude exceeds a certain threshold value, the initial solution breaks into pulse train. Energy localization via Ml is also investigated through computer simulations. We find very good quantitative agreement between the theoretical analysis and the numerical simulations of the MCAL equation for the Ml.
| Original language | English |
|---|---|
| Pages (from-to) | 583-592 |
| Number of pages | 10 |
| Journal | Journal of Computational and Theoretical Nanoscience |
| Volume | 6 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1 2009 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Chemistry(all)
- Materials Science(all)
- Condensed Matter Physics
- Computational Mathematics
- Electrical and Electronic Engineering
Cite this
}
Modulation instability and pattern formation in damped molecular systems. / Tabi, Conrad B.; Mohamadou, Alidou; Kofané, Timoléon C.
In: Journal of Computational and Theoretical Nanoscience, Vol. 6, No. 3, 01.03.2009, p. 583-592.Research output: Contribution to journal › Article
TY - JOUR
T1 - Modulation instability and pattern formation in damped molecular systems
AU - Tabi, Conrad B.
AU - Mohamadou, Alidou
AU - Kofané, Timoléon C.
PY - 2009/3/1
Y1 - 2009/3/1
N2 - It is shown that, in the weak amplitude and slow time limits, the dynamics of a damped onedimensional lattice is governed by the modified complex Ablowitz-Ladik (MCAL) equation. We conduct a theoretical analysis of the linear stability based on the MCAL equation, obtaining the modulational instability (Ml) criterion. We show that, if the wave amplitude exceeds a certain threshold value, the initial solution breaks into pulse train. Energy localization via Ml is also investigated through computer simulations. We find very good quantitative agreement between the theoretical analysis and the numerical simulations of the MCAL equation for the Ml.
AB - It is shown that, in the weak amplitude and slow time limits, the dynamics of a damped onedimensional lattice is governed by the modified complex Ablowitz-Ladik (MCAL) equation. We conduct a theoretical analysis of the linear stability based on the MCAL equation, obtaining the modulational instability (Ml) criterion. We show that, if the wave amplitude exceeds a certain threshold value, the initial solution breaks into pulse train. Energy localization via Ml is also investigated through computer simulations. We find very good quantitative agreement between the theoretical analysis and the numerical simulations of the MCAL equation for the Ml.
UR - http://www.scopus.com/inward/record.url?scp=66349132831&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=66349132831&partnerID=8YFLogxK
U2 - 10.1166/jctn.2009.1076
DO - 10.1166/jctn.2009.1076
M3 - Article
VL - 6
SP - 583
EP - 592
JO - Journal of Computational and Theoretical Nanoscience
JF - Journal of Computational and Theoretical Nanoscience
SN - 1546-1955
IS - 3
ER -