Modulational Instability of Zone Buondary Mode and Band Edge Modes in Two-Dimensional Nonlinear Lattices

Modulational Instability of Zone Buondary Mode and Band Edge Modes in Two-Dimensional Nonlinear Lattices
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二维非线性晶格中带边界模和带边模的调制不稳定性

DOI：
10.1143/jpsj.81.124402
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发表时间：
2012
期刊：
Journal of Physical Society of Japan
影响因子：
--
通讯作者：
Y. Doi and A. Nakatani
Y. Doi and A. Nakatani
中科院分区：
--
文献类型：
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作者：
Ying Jia;Masaaki Nishikawa;Masaki Hojo;Y. Doi and A. Nakatani

文献摘要

相似文献

基于Gauss超几何微分方程组的单调矩阵理论，严格分析了二维非线性晶格中区边界模和带边模的调制不稳定性。我们发现ZBM和BEM的调制不稳定性特征有很大的不同。
The modulational instability of the zone boundary mode (ZBM) and the band edge modes (BEMs) in two-dimensional (2D) nonlinear lattices are analyzed rigorously based on the theory for the monodromy matrix of Gauss's hypergeometric differential equations. We find that the modulational instability characteristics of the ZBM and BEMs are significantly different.