Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
The Euler’s equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler’s equations is taken (to a certain order of smallness of the scale parameters), relations to certain integrable equations emerge. Some recent results concerning the use of integrable equation in modeling the motion of shallow water waves are reviewed in this contribution.
Recommended Citation
R. Ivanov, Water waves and Integrability, Philos. Trans. Roy. Soc.: Ser. A . 365 (2007), 2267—2280
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Dynamic Systems Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Philos. Trans. Roy. Soc.: Ser. A . 365 (2007), 2267—2280