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Some nonlinear internal equatorial flows. (English) Zbl 1367.35182

Summary: We present an exact solution of the nonlinear governing equations for geophysical water waves in the \({\beta}\)-plane approximation near the equator.

MSC:

35Q86 PDEs in connection with geophysics
86A05 Hydrology, hydrography, oceanography
35C05 Solutions to PDEs in closed form
35Q31 Euler equations
35Q35 PDEs in connection with fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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References:

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