Nonlinear dynamics of short traveling capillary-gravity waves

Imagem de Miniatura




Borzi, C. H.
Kraenkel, Roberto André [UNESP]
Manna, M. A.
Pereira, A.

Título da Revista

ISSN da Revista

Título de Volume



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. ©2005 The American Physical Society.



Chiral, Defect structures, Splay, Suspended films, Crystal defects, Crystal orientation, Distortion (waves), Elasticity, Ions, Laplace transforms, Light polarization, Mathematical models, Suspensions (fluids), Thin films, Viscosity of liquids, Smectic liquid crystals

Como citar

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 71, n. 2, 2005.