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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 1999 Volume 40, Issue 5, Pages 55–61 (Mi pmtf3139)

This article is cited in 2 papers

On a class of internal solitary waves in a two-layer fluid

Zh. L. Maltseva

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: Solitary waves on an interface between two fluids are considered. A uniform asymptotic expansion is constructed for internal solitary waves with flat crests (of the plateau type) that degenerate into a bore in the limit. It is shown that, in this case, in contrast to a Korteweg-de Vries wave, the wave amplitude is of the same order of smallness as the longwave approximation parameter.

UDC: 532.51

Received: 01.04.1998


 English version:
Journal of Applied Mechanics and Technical Physics, 1999, 40:5, 824–830

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