Traveling wave solutions of the Camassa-Holm equation
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
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9813