Traveling wave solutions of the Degasperis-Procesi equation
Abstract
We classify all weak traveling wave solutions of the Degasperis-Procesi equation. In addition to smooth and peaked solutions, the equation is shown to admit more exotic traveling waves such as cuspons, stumpons, and composite waves.
- Publication:
-
Journal of Mathematical Analysis and Applications
- Pub Date:
- June 2005
- DOI:
- 10.1016/j.jmaa.2004.11.038
- Bibcode:
- 2005JMAA..306...72L
- Keywords:
-
- Traveling waves;
- Degasperis-Procesi equation