65 citations · 188 across the 24 of their papers we have counts for
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math.AP2010★ 65 cited
The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations
Joachim Escher, Martin Kohlmann, Jonatan Lenells
We use geometric methods to study two natural two-component generalizations of the periodic Camassa-Holm and Degasperis-Procesi equations. We show that these generalizations can be…
math.AP2010
Geometric aspects of the periodic -Degasperis-Procesi equation
Joachim Escher, Martin Kohlmann, Boris Kolev
We consider the periodic $\muDP$ equation (a modified version of the Degasperis-Procesi equation) as the geodesic flow of a right-invariant affine connection on the Fréche…