Affiliation:
1. School of Mathematics, Trinity College DublinDublin 2, Republic of Ireland
Abstract
Euler's equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymptotic expansion of Euler's equations is considered (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 modelling the motion of shallow water waves are reviewed in this contribution.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
102 articles.
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