Modulation Instability and Pattern Formation in Damped Molecular Systems

被引：4
|
作者：
Tabi, Conrad B. [1 ]
Mohamadou, Alidou [1 ,2 ]
Kofane, Timolon C. [1 ]
机构：
[1] Univ Yaounde I, Fac Sci, Dept Phys, Lab Mech, Yaounde, Cameroon
[2] Univ Douala, Fac Sci, Dept Phys, Condensed Matter Lab, Douala, Cameroon
来源：
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2009年 / 6卷 / 03期
关键词：
Damping; Modified Complex Ablowitz-Ladik Equation; Modulational Instability; NONLINEAR SCHRODINGER-EQUATION; ENERGY LOCALIZATION; DNA DYNAMICS; SOLITONS; TRANSMISSION; ENVELOPE; TRAINS; IMPACT; MODEL;
D O I：
10.1166/jctn.2009.1076
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
It is shown that, in the weak amplitude and slow time limits, the dynamics of a damped one-dimensional 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 (MI) criterion. We show that, if the wave amplitude exceeds a certain threshold value, the initial solution breaks into pulse train. Energy localization via MI 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 MI.
引用
收藏
页码：583 / 592
页数：10
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