Instabilities of Weakly Nonlinear Standing Gravity Waves

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概要

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• Instabilities of two-dimensional weakly nonlinear standing gravity waves on thesurface of deep water are investigated on the basis of the Zakharov equation. Itis found that the instability due to the resonant interaction among waves con-cerning the wave numbers k. and - k. gives the growth rate larger than that due tothe resonant interaction among waves concerning k.. The restabilization of theentire system for large steepness does not occur for the standing wave. Furthermore,a coupled set of nonlinear Schr6dinger type equations is derived fromtheZakharovequation for long wave perturbations and a criterion for the Benjamin-Feir typeinstability is obtained.

• 社団法人日本物理学会の論文
• 1984-11-15

著者

• Okamura Makoto

  Department Of Geology Kochi University

• Okamura M

  Department Of Physics Faculty Of Science Kyoto University

• Okamura Makoto

  Department Of Economics University Of Florida

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