Necessary conditions for mode interactions in parametrically excited waves

T. Epstein; J. Fineberg

doi:10.1103/PhysRevLett.100.134101

Necessary conditions for mode interactions in parametrically excited waves

T. Epstein^*, J. Fineberg

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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.

Original language	English
Article number	134101
Journal	Physical Review Letters
Volume	100
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevLett.100.134101
State	Published - 3 Apr 2008

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10.1103/PhysRevLett.100.134101

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Necessary conditions for mode interactions in parametrically excited waves

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