The two-dimensional periodicb-equation on the diffeomorphism group of the torus

DOI10.1088/1751-8113/44/46/465205zbMath1230.35103arXiv1107.3998OpenAlexW2172096443MaRDI QIDQ3102682

Martin Kohlmann

Publication date: 6 December 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3998

zbMATH Keywords

Camassa-Holm equationDegasperis-Procesi equationdiffeomorphism grouptwo-dimensional periodic \(b\)-equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Geodesic flows in symplectic geometry and contact geometry (53D25)

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On the initial value problem for higher dimensional Camassa-Holm equations

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