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Department of Mathematics,
University of California San Diego

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Nonlinear PDE Seminar

Jonatan Lenells

Lund University

Traveling wave solutions of the Camassa-Holm equation

Abstract:

We classify all weak traveling wave solutions of the Camassa-Holm equation. It is proved that, in addition to smooth solutions, there are a multitude of traveling waves with singularities: peakons, cuspons, stumpons, and composite waves. The approach is also shown to apply to other related nonlinear wave equations.

Host: Hans Lindblad

May 2, 2006

10:00 AM

AP&M 7321

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