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Traveling wave solutions of the Camassa-Holm equation

Jonatan Lenells

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

Tuesday, May 2, 2006
10:00AM AP&M 7421