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March 24, 2006 11:28 WSPC/INSTRUCTION FILE multipeak2 GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION

By Helge Holden, Xavier Raynaud and Received (day Mth Year

Abstract

Communicated by [editor] Abstract. We show how to construct globally defined multipeakon solutions of the Camassa–Holm equation. The construction includes in particular the case with peakonantipeakon 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. Keywords: Camassa–Holm equation, multipeakons, conservative solutions. 1

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.184.2
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