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We present derivations of shallow water model equations of Korteweg–de Vries and Boussinesq type for equatorial tsunami waves in the f -plane approximation and discuss their applicability. This article is part of the theme issue ‘Nonlinear water waves’.
Hydrology, hydrography, oceanography, tsunami modelling, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, KdV equations (Korteweg-de Vries equations), \(f\)-plane approximation, plane approximation, equatorial shallow water equations
Hydrology, hydrography, oceanography, tsunami modelling, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, KdV equations (Korteweg-de Vries equations), \(f\)-plane approximation, plane approximation, equatorial shallow water equations
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