Solitary Waves on a Two-Layer Fluid

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概要

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• This paper deals with weakly nonlinear long gravity waves on a stably stratifiedtwo-layer fluid. By using the reductive perturbation method, it is found that thefast mode is always governed by a Korteweg-de Vries (K-dV) equation whosecoefficients depend on the thickness ratio and the.density ratio. On the other hand,the slow mode is also governed, in general, by another K-,dV equation exceptnear and at the critical thickness ratio. At the critical thickness ratio, however,the slow mode is shown to be governed by a modified K-dV equation with cubicnonlinearity and near the critical thickness ratio it is governed by an equation ofa combined form of the K-dV and modified K-dV equation. Steady solitary wavesolutions to these equations are investigated in detail. A special solution represent-ing a dispersive bore or hydraulic jump is also found.

• 社団法人日本物理学会の論文
• 1978-08-15

著者

• Kakutani Tsunehiko

  Department Of Engineering Mathematics University Of Newcastle Upon Tyne:(present Address) Department

• YAMASAKI Nobuyoshi

  Department of Mechanical Engineering,Faculty of Engineering Science,Osaka University

• Yamasaki Nobuyoshi

  Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University

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