Nonlinear dynamics of short traveling capillary-gravity waves
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Data
2005-02-01
Autores
Borzi, C. H.
Kraenkel, Roberto André [UNESP]
Manna, M. A.
Pereira, A.
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Resumo
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.
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Palavras-chave
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.