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math.AP2020★ 1 cited
Geometric aspects of two- and threepeakons
Tomasz Cieślak, Wojciech Kryński
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 particu…
math.AP2017
Dissipative prolongations of the multipeakon solutions to the Camassa-Holm equation
Wojciech Kryński
Multipeakons are special solutions to the Camassa-Holm equation described by an integrable geodesic flow on a Riemannian manifold. We present a bi-Hamiltonian formulation of the sy…