The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the Camassa–Holm Equation

DOI10.1093/imrn/rny176zbMath1479.34029arXiv1801.04612OpenAlexW2963300415WikidataQ62469394 ScholiaQ62469394MaRDI QIDQ5151555

Jonathan Eckhardt, Aleksey S. Kostenko

Publication date: 19 February 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04612

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (10)

On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions ⋮ Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential ⋮ A numerical study of variational discretizations of the Camassa-Holm equation ⋮ Stumpons are non-conservative traveling waves of the Camassa-Holm equation ⋮ Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures ⋮ Criterion for Lyapunov stability of periodic Camassa-Holm equations ⋮ The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations ⋮ A view of the peakon world through the lens of approximation theory

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