THE VARIED NONLINEAR INTERFACE WAVES IN A SCALE-LIMITED TWO-MEDIUM OSCILLATORY SYSTEM
Huang X.Q., Cui X., Huang J.

Received: January 5, 2014

DOI: 10.7868/S0044451014070190

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We investigate spontaneously generated waves around the interfaces between two different media in a system where the domain scales are limited. These two media are carefully selected such that there exists a theoretical interface wave with the frequency and wave number that can be predicted according to the control parameters. We present the rules of how the frequency and wave number vary with reducing the scales of media domains. We find that the frequency decreases with reducing the scale of antiwave (AW) media, but increases with reducing the scale of normal wave (NW) media in both one-dimensional and two-dimensional systems. The wave number always decreases with reducing scales of either NW or AW media. The least scale to generate the theoretical wave is the predicted wavelength. These special phenomena around the interfaces may be applied to detect the limited scale of a system.