Abstract

New solutions are found for the (3+1)-dimensional nonlinear Charney–Obukhov equation describing Rossby waves and vortices. The solutions have the form of stationary structures moving with a constant velocity along the parallel. Some of the solutions found have a functional arbitrariness, which is probably due to the similarity of the Charney–Obukhov equation with an integrable nonlinear system. Functional arbitrariness can be useful when applying the solutions for modeling a wide range of problems.

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