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Regular version of the site

Article

WIND GENERATED EQUATORIAL GERSTNER-TYPE WAVES

Discrete and Continuous Dynamical Systems. 2019. Vol. 39. No. 8. P. 4443-4453.

A class of non-stationary surface gravity waves propagating in the

zonal direction in the equatorial region is described in the f -plane approx-

imation. These waves are described by exact solutions of the equations of

hydrodynamics in Lagrangian formulation and are generalizations of Gerstner

waves. The wave shape and non-uniform pressure distribution on a free sur-

face depend on two arbitrary functions. The trajectories of uid particles are

circumferences. The solutions admit a variable meridional current. The dy-

namics of a single breather on the background of a Gerstner wave is studied as

an example.