Long Internal Waves in a Two-Layer Fluid
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概要
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Steadv Jon: r>eriodic internal waves of small amrlitude in a two-layer fluidwith a rigid upper boundary are examined under the assumption of no differencebetween mean horizontal velocities in each layer. When the depth ratio in quies-cent state is close to a certain value o. determined by density ratio, the Korteweg-devries equation does not describe well such waves. For this case an equationinc[udin: both ctuadratic and cubic nonlinear terms as well as dispersive term isderived. By taking the long-wave limit of periodic solutions to this equation, ashock like solution as well as a solitarv wave solution of elevation or der>ressionis obtained. One of the depth ratios at two flat regions for the shock like solutionis larger than o., and the other is smaller than o.. The velocity of this solution isindependent of its amplitude. The amplitude of the solitary wave solution has acertain upper limit.
- 社団法人日本物理学会の論文
- 1985-07-15
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