This article is cited in 2 papers

Solitary Waves in Two-Layer Shallow Water

K. N. Danilova^a, V. Yu. Liapidevskii<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: Propagation of nonlinear waves in two-layer fluid in the shallow water approximation is considered. In a horizontal channel with a free surface and “under lid” the subsurface solitary waves of large amplitude, describing the wave with “trapped core” are investigated. The flow regime diagram for solitary waves is constructed on the plane of governing parameters.

Keywords: Stratified flows, solitary waves, two-layer shallow water.

UDC: 532.59

Received: 07.11.2014

 English version: Journal of Mathematical Sciences, 2016, 213:6, 802–810