Nonlinear dynamics of short traveling capillary-gravity waves.
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 theta (the special case theta=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
CH
Facultad de Ciencias Exactas y Naturales de la Universidad Nacional de Buenos Aires, Pab. II, Nuñez, Buenos Aires, Argentina.
Kraenkel
R A
RA
Manna
M A
MA
Pereira
A
A