Water waves and Integrability
Citation:
R. Ivanov `Water waves and integrability? in Philosophical Transactions of the Royal Society A?, 365, 2007, pp 2267 - 2280Download Item:
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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.
Author's Homepage:
http://people.tcd.ie/ivanovrDescription:
PUBLISHED
Author: IVANOV, ROSSEN
Publisher:
Royal SocietyType of material:
Journal ArticleSeries/Report no:
Philosophical Transactions of the Royal Society A365
Availability:
Full text availableKeywords:
Euler?s equations, Integrability, Camassa-Holmequation, Degasperis-Procesi equation, Korteweg-de Vries equationISSN:
1364-503XLicences: