Necessary conditions for mode interactions in parametrically excited waves.
We study the spatial and temporal structure of nonlinear states formed by parametrically excited waves on a fluid surface (Faraday instability), in a highly dissipative regime. Short-time dynamics reveal that 3-wave interactions between different spatial modes are only observed when the modes' peak values occur simultaneously. The temporal structure of each mode is functionally described by the Hill's equation and is unaffected by which nonlinear interaction is dominant.
The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
T
T
Epstein
J
J
Fineberg