title: Nonlinear dynamics of short traveling capillary-gravity waves.
abstract: 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.
authors.affiliation: Facultad de Ciencias Exactas y Naturales de la Universidad Nacional de Buenos Aires, Pab. II, Nuñez, Buenos Aires, Argentina.
authors.forename: C H
authors.initials: CH
authors.lastname: Borzi
authors.forename: R A
authors.initials: RA
authors.lastname: Kraenkel
authors.forename: M A
authors.initials: MA
authors.lastname: Manna
authors.forename: A
authors.initials: A
authors.lastname: Pereira