3 papers
physics.flu-dyn2025
New exact spatially localized solutions of the (3 + 1) -dimensional nonlinear non-dissipative quasi-geostrophic potential vorticity equation for an exponential atmosphere
A. G. Kudryavtsev, N. N. Myagkov
New exact spatially localized stationary solutions against the background of a zonal flow are found for the (3+1)-dimensional nonlinear non-dissipative quasi-geostrophic potential…
math-ph2024
On the twofold Moutard transformation of the stationary Schrödinger equation with axial symmetry
Andrey Kudryavtsev
The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two Moutard transformations can p…
math.AP2023
Solutions of the (3 + 1) dimensional Charney-Obukhov equation for the ocean, Part I: case of "separation'' of variables
V. A. Goloveshkin, A. G. Kudryavtsev, N. N. Myagkov
Exact solutions describing Rossby waves and vortices in ocean propagating along the zonal direction at a constant velocity are considered for the (3+1)-dimensional nonlinear Charne…