On exact solutions of the Charney Obukhov equation for the ocean

Exact solutions for the (3 + 1)-dimensional nonlinear Charney-Obukhov equation are obtained and their application to modeling waves and vortices in ocean is discussed. The considered solutions for the ocean, when changing the values of the parameters included in the solutions, demonstrate the transition of a laminar flow to a flow containing vortices.(c) 2022 Elsevier B.V. All rights reserved.

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(English Summary:) In this paper, exact solutions for the (3 + 1)-dimensional nonlinear Charney-Obukhov equation are obtained, and their application in modeling waves and vortices in the ocean is discussed. The solutions for the ocean demonstrate the transition from laminar flow to a flow containing vortices by changing the parameter values.