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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2005

Nonlinear Dynamics of Short Travelling Capillary-gravity Waves

Résumé

We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-waves dynamics, we show that this system posseses (1+1) travelling waves solutions for almost all the values of the Bond number B (the special case B=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.

Dates et versions

hal-00338939 , version 1 (14-11-2008)

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H. C. Borzi, R.A Kraenkel, Miguel Manna, A. Pereira. Nonlinear Dynamics of Short Travelling Capillary-gravity Waves. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 71, pp.026307. ⟨10.1103/PhysRevE.71.026307⟩. ⟨hal-00338939⟩
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