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Multipeakons viewed as geodesics

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Publication:4595469
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DOI10.4064/BA8119-6-2017zbMath1383.53010OpenAlexW2738611179MaRDI QIDQ4595469

Tomasz Cieślak, Michał Gaczkowski, Mariusz Kubkowski, Marcin Małogrosz

Publication date: 30 November 2017

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8119-6-2017


zbMATH Keywords

Lagrangianpositive definite matrixmultipeakons


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hamilton's equations (70H05) Soliton equations (35Q51) Differential geometric aspects in kinematics (53A17)


Related Items (6)

Dissipative prolongations of the multipeakon solutions to the Camassa-Holm equation ⋮ Viscosity solutions to an initial value problem for a Hamilton-Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons ⋮ Existence of solutions to a one-dimensional Hamilton–Jacobi equation with a degenerate Hamiltonian ⋮ A view of the peakon world through the lens of approximation theory ⋮ Geometric aspects of two- and threepeakons ⋮ Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton–Jacobi equation







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