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arXiv · 2010.02713

Geometric aspects of two- and threepeakons

Tomasz Cieślak·Wojciech Kryński
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Abstract

We apply geometric tools to study dynamics of two- and threepeakon solutions of the Camassa--Holm equation. New proofs of asymptotic behavior of the solutions are given. In particular we recover well-known collision conditions. Additionally the Gauss curvature (in the twopeakon case) and the sectional curvature (in the treepeakon case) of corresponding manifolds are computed.

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Tomasz Cieślak, Wojciech Kryński. 2020-10-06. Geometric aspects of two- and threepeakons. https://doi.org/10.1088/1361-6544%2Fac149e

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