The Degasperis–Procesi equation as a non-metric Euler equation
نویسندگان
چکیده
منابع مشابه
The Degasperis-Procesi equation as a non-metric Euler equation
In this paper we present a geometric interpretation of the periodic Degasperis-Procesi equation as the geodesic flow of a right invariant symmetric linear connection on the diffeomorphism group of the circle. We also show that for any evolution in the family of b-equations there is neither gain nor loss of the spatial regularity of solutions. This in turn allows us to view the Degasperis-Proces...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2010
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-010-0778-2