69 citations · 467 across the 28 of their papers we have counts for
16 papers · 1 filter
Reflectionless wave propagation on shallow water with variable bathymetry and current. II
Semyon M. Churilov, Yury A. Stepanyants
We show that in the linear approximation there are three classes of reflectionless wave propagation on a surface of shallow water in the channel with spatially varying depth, width…
Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet
Alexey V. Slunyaev, Yury A. Stepanyants
We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant de…
Reflectionless wave propagation on shallow water with variable bathymetry and current
Semyon Churilov, Yury Stepanyants
In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct w…
Hydrodynamic models of astrophysical wormholes. The general concept
Semyon Churilov, Yury Stepanyants
We study hydrodynamic models of astrophysical wormholes when water waves can be amplified in the course of propagation between two critical points where wave and current speeds coi…
Dynamics of internal envelope solitons in a rotating fluid of a variable depth
Yury Stepanyants
We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave…
Scattering of surface shallow water waves on a draining bathtub vortex
Semyon Churilov, Yury Stepanyants
In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered…