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…