Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Stepanyants, Yury"'
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 dependence of their parameters on distance. Then, we study the interaction
Externí odkaz:
http://arxiv.org/abs/2301.06144
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, and current speed. Two of these classes have been described in our p
Externí odkaz:
http://arxiv.org/abs/2201.00307
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 depth. For weakly nonlinear perturbations, we derive the nonlinear Schr\
Externí odkaz:
http://arxiv.org/abs/2112.07906
Publikováno v:
In Wave Motion July 2024 128
Autor:
Churilov, Semyon, Stepanyants, Yury
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 width, and current. We show that both global and bounded exact solution
Externí odkaz:
http://arxiv.org/abs/2108.12549
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 describing wave processes in media with positive dispersion. We show th
Externí odkaz:
http://arxiv.org/abs/2108.06071
Autor:
Stepanyants, Yury
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 Nanggala-420 in April 2021. A possible role of giant internal waves in such
Externí odkaz:
http://arxiv.org/abs/2107.00828
Autor:
Churilov, Semyon, Stepanyants, Yury
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 coincide. Such models can be realised in shallow laboratory ducts with va
Externí odkaz:
http://arxiv.org/abs/2105.06163
Autor:
Stepanyants, Yury
Publikováno v:
Fluids, 2019, v. 4, 56, 12 p
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 which constitutes the solitary wave is the frequency where the growth
Externí odkaz:
http://arxiv.org/abs/1903.07817
Autor:
Ermakov, Andrei, Stepanyants, Yury
Publikováno v:
Chaos, 2019, v. 29, n. 1, 013117, 14 p
We revise the solutions of the forced Korteweg-de Vries equation describing a resonant interaction of a solitary wave with external pulse-type perturbations. In contrast to previous works where only the limiting cases of a very narrow forcing in comp
Externí odkaz:
http://arxiv.org/abs/1812.09479