An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation

Abstract

We introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation. Utilizing the solution of the indefinite moment problem given by M. G. Krein and H. Langer, we show that the conservative Camassa-Holm equation is integrable by the inverse spectral transform in the multi-peakon case.

25 pages

References in corpus (3)

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Inverse Scattering Transform for the Camassa-Holm equation
• On the isospectral problem of the dispersionless Camassa-Holm equation

Cited by in corpus (3)

• The Camassa--Holm Equation and The String Density Problem
• Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation,
• Full indefinite Stieltjes moment problem and Padé approximants