Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy

DOI10.5802/aif.3107zbMath1383.35182arXiv1512.03956OpenAlexW3122830925WikidataQ57343458 ScholiaQ57343458MaRDI QIDQ1687892

Helge Holden, Jonathan Eckhardt, Aleksey S. Kostenko, Friedrich Gesztesy, Gerald Teschl

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03956

zbMATH Keywords

Weyl-Titchmarsh theoryisospectral torireal-valued algebro-geometric solutionsself-adjoint Hamiltonian systemstwo-component Camassa-Holm hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (max. 100)

The classical moment problem and generalized indefinite strings ⋮ Liouville correspondences between multicomponent integrable hierarchies ⋮ Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions ⋮ Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow ⋮ GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS

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