Modulational instability and spatial structures of the Ablowitz-Ladik equation

被引：7
|
作者：
Mohamadou, Alidou
Fopa, Ferdinand
Kofane, Timoleon Crepin
机构：
[1] Univ Yaounde, Fac Sci, Dept Phys, Lab Mecan, Yaounde, Cameroon
[2] Univ Douala, Fac Sci, Dept Phys, Condensed Matter Lab, Douala, Cameroon
[3] Abdus Salam Int Ctr Theoret Phys, I-34014 Trieste, Italy
来源：
OPTICS COMMUNICATIONS | 2006年 / 266卷 / 02期
关键词：
Ablowitz-Ladik equation; multiple scale analysis; pulse train; spatial soliton;
D O I：
10.1016/j.optcom.2006.05.028
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Spatial structures as a result of a modulational instability are obtained in the integrable discrete nonlinear Schrodinger equation (Ablowitz-Ladik equation). Discrete slow space variables are used in a general setting and the related finite differences are constructed. Analyzing the ensuing equation, we derive the modulational instability criterion from the discrete multiple scales approach. Numerical simulations in agreement with analytical studies lead to the disintegrations of the initial modulated waves into a train of pulses. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：648 / 655
页数：8
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