10 citations · 14 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
On the nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations
Andrey Kudryavtsev
The nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations is considered. Formulae for the nonlocal Darboux transformation are obt…
The nonlocal Darboux transformation of the stationary axially symmetric Schrödinger equation and generalized Moutard transformation
Andrey Kudryavtsev
The nonlocal Darboux transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a special case of the nonlocal Darboux transformation p…
The nonlocal Darboux transformation of the 2D stationary Schrödinger equation and its relation to the Moutard transformation
Andrey Kudryavtsev
The nonlocal Darboux transformation of the two - dimensional stationary Schrödinger equation is considered and its relation to the Moutard transformation is established. It is show…
The exactly solvable two-dimensional stationary Schrödinger operators obtaining by the nonlocal Darboux transformation
Andrey Kudryavtsev
The Fokker-Planck equation associated with the two - dimensional stationary Schrödinger equation has the conservation low form that yields a pair of potential equations. The specia…