Modulational instability in asymmetric coupled wave functions

被引：12
|
作者：
Kourakis, I [1 ]
Shukla, PK [1 ]
机构：
[1] Ruhr Univ Bochum, Fak Phys & Astron, D-44780 Bochum, Germany
来源：
EUROPEAN PHYSICAL JOURNAL B | 2006年 / 50卷 / 1-2期
关键词：
D O I：
10.1140/epjb/e2006-00106-1
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schrodinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and the group velocity dispersion terms) and the nonlinearity and coupling coefficients, on which no assumption is made. A generalized dispersion relation is obtained, relating the frequency and wave-number of a small perturbation around a coupled monochromatic (Stokes') wave solution. Explicitly stability criteria are obtained. The analysis reveals a number of possibilities. Two (individually) stable systems may be destabilized due to coupling. Unstable systems may, when coupled, present an enhanced instability growth rate, for an extended wave number range of values. Distinct unstable wavenumber windows may arise simultaneously.
引用
收藏
页码：321 / 325
页数：5
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