Nonlinear Modulation of Gravity Waves
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概要
- 論文の詳細を見る
Slow modulation of gravity waves on water layer with uniform depth is investigated by using singular perturbation methods. It is found, to the lowest order of perturbation, that the complicated system of equations governing such modulation can be reduced to a simple nonlinear Schrodinger equation. A nonlinear plane wave solution to this equation is found to correspond to the so-called Stokes wave. The linear stability of this plane wave solution is essentially determined by the sign of the product of two coefficients in this equation, yielding Benjamin and Whitham's criterion. The same equation is found to give a weak cnoidal wave derived from the Korteweg-de Vries equation in the shallow-water limit.
- 社団法人日本物理学会の論文
- 1972-09-05
著者
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Ono Hiroaki
Department Of Liberal Arts And Science Setsunan University
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Hasimoto Hidenori
Institute Of Space And Aeronautical Science Unversity Of Tokyo
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Hasimoto Hidenori
Institute Of Space And Aeronautical Science University Of Tokyo
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