Online citations, reference lists, and bibliographies.
← Back to Search

GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION

HELGE HOLDEN, XAVIER RAYNAUD

Save to my Library
Download PDF
Analyze on Scholarcy
Share
We show how to construct globally defined multipeakon solutions of the Camassa–Holm equation. The construction includes in particular the case with peakon-antipeakon collisions. The solutions are conservative in the sense that the associated energy is constant for almost all times. Furthermore, we construct a new set of ordinary differential equations that determines the multipeakons globally. The system remains globally well-defined.