Effect of Bottom Irregularities on Small Amplitude Shallow Water Waves

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概要

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• Behavior of finite amplitude long gravity waves in a water layer with an irregular bottom surface is investigated by means of a nonlinear perturbation method. Under the assumption that the irregularities are of small size, a simple set of nonlinear equations is presented. There arise two effects in the propagation characteristic of shallow water waves, change in phase velocity and damping of amplitude. For the one-dimensional and unidirectional motion of shallow water waves the set of equations is reduced to a simpler one, the generalized Korteweg-de Vries equation. The decay rate of a solitary wave is also obtained.

• 社団法人日本物理学会の論文
• 1972-11-05

著者

• Yajima Nobuo

  Department Of Applied Mathematic And Physics Kyoto University

• Yajima Nobuo

  Department Of Applied Mathematics And Physics Kyoto University

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• Effect of Bottom Irregularities on Small Amplitude Shallow Water Waves

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