69 citations · 467 across the 28 of their papers we have counts for
27 papers
Solitary waves and their interactions in the cylindrical Korteweg-de Vries equation
Wencheng Hu, Jingli Ren, Yury Stepanyants
We consider approximate, exact, and numerical solutions to the cylindrical Korteweg-de Vries equation. We show that there are different types of solitary waves and obtain the depen…
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…
Lump interactions with plane solitons
Yury Stepanyants, Dmitry Zakharov, Vladimir Zakharov
We analyse the detail of interactions of two-dimensional solitary waves called lumps and one-dimensional line solitons within the framework of the Kadomtsev-Petviashvili equation d…
How internal waves could lead to wreck American and Indonesian submarines?
Yury Stepanyants
The article reflects the author's point of view on the disasters that occurred with American atomic submarines Thresher and Scorpion in 1960th and Indonesian diesel submarine Nangg…