Spatial and Temporal Dynamics of Two Interacting Modes in Parametrically Driven Surface Waves

H. Arbell, J. Fineberg

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

Abstract

Nonlinear waves with basic wave numbers, k1 and k2, are simultaneously excited via two-frequency parametric excitation of a fluid surface. Three new multiwave states are observed: (1) A superlattice state composed of k1 and k2 whose relative orientation is governed by a temporal resonance condition, (2) a superlattice built entirely of wave numbers k1 and k1/2, and (3) a state composed of wave numbers of lengths k1 and k2 that are uncorrelated in both space and time. The three states exhibit interesting temporal as well as spatial behavior and are observed in a variety of frequency combinations.

Original languageAmerican English
Pages (from-to)4384-4387
Number of pages4
JournalPhysical Review Letters
Volume81
Issue number20
DOIs
StatePublished - 16 Nov 1998

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