Article ID Journal Published Year Pages File Type
1893774 Journal of Geometry and Physics 2012 7 Pages PDF
Abstract

A novel ππ-Camassa–Holm system is studied as a geodesic flow on a semidirect product obtained from the diffeomorphism group of the circle. We present the corresponding details of the geometric formalism for metric Euler equations on infinite-dimensional Lie groups and compare our results to what has already been obtained for the usual two-component Camassa–Holm equation. Our approach results in well-posedness theorems and explicit computations of the sectional curvature.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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