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Some geometric investigations on the Degasperis-Procesi shallow water equation

Article ID Journal Published Year Pages File Type
1901327 Wave Motion 2009 8 Pages PDF
Abstract
We present some geometric investigations on some recently derived shallow water equations. While the Camassa-Holm equation can be expressed as an Euler equation on the diffeomorphism group of the circle, this is not the case for the Degasperis-Procesi equation.
Keywords
Degasperis–Procesi equationGeodesic flowCamassa–Holm equation
Related Topics
Physical Sciences and Engineering Earth and Planetary Sciences Geology
Preview
Some geometric investigations on the Degasperis-Procesi shallow water equation
Authors
Boris Kolev,
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Journal
Wave Motion
Journal: Wave Motion
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Degasperis–Procesi equation
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Camassa–Holm equation
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