Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws |
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| Authors: | Z. I. Fedotova G. S. Khakimzyanov |
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| Affiliation: | 1. Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
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| 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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