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- W4290442776 abstract "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 system explicitly and write down formulae for the associated first integrals. Then we exploit the first integrals and present a novel approach to the problem of the dissipative prolongations of multipeakons after the collision time. We prove that an $n$-peakon after a collision becomes an $n-1$-peakon for which the momentum is preserved." @default.
- W4290442776 created "2022-08-07" @default.
- W4290442776 creator A5027719393 @default.
- W4290442776 date "2017-09-01" @default.
- W4290442776 modified "2023-09-29" @default.
- W4290442776 title "Dissipative prolongations of the multipeakon solutions to the Camassa-Holm equation" @default.
- W4290442776 doi "https://doi.org/10.48550/arxiv.1709.00258" @default.
- W4290442776 hasPublicationYear "2017" @default.
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