Solitary waves in a two-fluid system in a channel of arbitrary cross section

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Raman, S. V. (2011)

The problem of solitary wave at the interface of two immiscible ideal fluids in a channel of arbitrary cross section and infinite length is investigated, and expressions for wave profile and speed are obtained. It is shown that when the two fluids are of nearly equal density, then the wave is of elevation (or depression) when the lower (or upper) layer is shallower of the two. The particular case of a rectangular channel is discussed in detail, and the results correspond to those of Long [1956] and Benjamin [1966].DOI: 10.1111/j.2153-3490.1968.tb00408.x
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