Modulational instability in bulk dispersive quadratically nonlinear media

被引:11
作者
Musslimani, ZH [1 ]
Malomed, BA
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, Israel
关键词
second-harmonic generation; resonant three-wave interactions;
D O I
10.1016/S0167-2789(98)00123-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyze stability of continuous wave (cw) solutions to the second-harmonic-generation equations in a multidimensional dispersive medium, and demonstrate that they are always unstable. We also consider the modulational stability in a more general three-wave system, and demonstrate that, at least in some cases, its multidimensional cw solutions may be stable. Copyright (C) 1998 Elsevier Science B.V.
引用
收藏
页码:235 / 243
页数:9
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