Abstract
Nonlinear dispersive shallow water equations on a sphere are obtained without using the potential flow assumption. Boussinesq-type equations for weakly nonlinear waves over a moving bottom are derived. It is found that the total energy balance holds for all obtained nonlinear dispersive equations on a sphere.
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Original Russian Text © Z.I. Fedotova, G.S. Khakimzyanov.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 3, pp. 37–50, May–June, 2014.
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Fedotova, Z.I., Khakimzyanov, G.S. Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws. J Appl Mech Tech Phy 55, 404–416 (2014). https://doi.org/10.1134/S0021894414030043
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DOI: https://doi.org/10.1134/S0021894414030043