##### 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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