Shock wave criterion for propagating solitary states in driven surface waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 3, 2001, Pages

  Lioubashevski, O ^a   Fineberg, J ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; SOLITONS; WAVE PROPAGATION;

THIN TWO-DIMENSIONAL FLUID LAYERS;

SHOCK WAVES;

EID: 0035276667     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.035302     Document Type: Article

References (28)

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22. (Formula presented) was obtained by numerical derivation of (Formula presented), where (Formula presented) is the driving frequency and k the critical wave number for parametric excitation. This value of (Formula presented) was within 10% of that given by the shallow fluid approximation 19,(Formula presented).
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26. In 13 (Formula presented) in the highly dissipative regime was fit by: (Formula presented). For (Formula presented) (Formula presented) (Formula presented).
27. For our experimental conditions, (Formula presented). The gravity wave approximation here is justified, since surface tension 13 in this parameter range plays a negligible role.
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