Some Remarks on the Spectral Problem Underlying the Camassa-Holm Hierarchy

zbMath1322.47028arXiv1303.5793MaRDI QIDQ2944073

Rudi Weikard, Friedrich Gesztesy

Publication date: 7 September 2015

Full work available at URL: https://arxiv.org/abs/1303.5793

zbMATH Keywords

Floquet theorydistributional coefficientsCamassa-Holm hierarchysupersymmetric formalismleft-definite spectral problems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Eigenvalue problems for linear operators (47A75) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (6)

Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ The inverse spectral problem for indefinite strings ⋮ Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data ⋮ Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow ⋮ Quadratic operator pencils associated with the conservative Camassa-Holm flow

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