Physics
Scientific paper
Feb 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrve..71b6307b&link_type=abstract
Physical Review E, vol. 71, Issue 2, id. 026307
Physics
6
Nonlinearity, Bifurcation, And Symmetry Breaking, Approximation Methods, Equations Of Motion
Scientific paper
We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1+1) traveling-wave solutions for almost all the values of the Bond number θ (the special case θ=1/3 is not studied). These waves become singular when their amplitude is larger than a threshold value, related to the velocity of the wave. The limit angle at the crest is then calculated. The stability of a wave train is also studied via a Benjamin-Feir modulational analysis.
Borzi C. H.
Kraenkel Roberto A.
Manna M. A.
Pereira Antonio
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