Shock wave criterion for propagating solitary states in driven surface waves

O. Lioubashevski, J. Fineberg

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Highly localized solitary states are observed to propagate along the surface of a thin two-dimensional fluid layer. The states are driven by means of a spatially uniform, temporally periodic, vertical acceleration (Faraday experiment) in a highly dissipative fluid. These states are shown to be formed by coupled fronts that propagate, periodically, as shock waves. A criterion for their formation based on shock initiation is presented. Both the characteristic form and interaction dynamics of the solitary states can be understood in this picture.

Original languageAmerican English
JournalPhysical Review E
Volume63
Issue number3
DOIs
StatePublished - 2001

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