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Instability of equatorial water waves in the $f-$plane

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  • This paper addresses the hydrodynamical stability of nonlinear geophysical equatorial waves in the $f-$plane approximation. By implementing the short-wavelength perturbation approach, we show that certain westward-propagating equatorial waves are linearly unstable when the wave steepness exceeds a specific threshold.
    Mathematics Subject Classification: Primary: 35B15; Secondary: 76B15, 76B47, 76U05.


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