Geometric aspects of two- and threepeakons
Analysis of PDEs
2021-09-01 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2010.02713,
title = {Geometric aspects of two- and threepeakons},
author = {Tomasz Cieślak and Wojciech Kryński},
journal= {arXiv preprint arXiv:2010.02713},
year = {2021}
}