Observation of odd and even two-dimensional standing solitary waves in water

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Observation of odd and even two-dimensional standing solitary waves in water

Jean Rajchenbach,Didier Clamond,Alphonse Leroux-2010-11-21-HAL (Le Centre pour la Communication Scientifique Directe)

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TL;DRAbstract

By means of the parametric excitation of water waves in a Hele-Shaw cell,we report the existence of two new types of highly localized,standing solitary water waves. They are respectively of oddand even symmetries. Both patterns oscillate subharmonicallywith the forcing frequency. The even pattern resembles the oscillonoriginally recognized at the surface of a vertically vibrated layer of brassbeads [Umbanhowar et al. 1996].The odd pattern has apparently never been observedbefore in any media.

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By means of the parametric excitation of water waves in a Hele-Shaw cell,we report the existence of two new types of highly localized,standing solitary water waves. They are respectively of oddand even symmetries. Both patterns oscillate subharmonicallywith the forcing frequency. The even pattern resembles the oscillonoriginally recognized at the surface of a vertically vibrated layer of brassbeads [Umbanhowar et al. 1996].The odd pattern has apparently never been observedbefore in any media.

Keywords

Forcing (mathematics)Standing waveExcitationPhysicsParametric statisticsSurface waveMechanicsHomogeneous space

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