Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 05, pp. 1-12.

Title: Stability of peakons for the generalized Camassa-Holm equation

Author: Orlando Lopes (UNICAMP, Campinas, Brasil)
         
Abstract: 
 We study the existence of minimizers for a constrained variational
 problems in $H^1(\mathbb{R})$. These minimizers are stable
 waves solutions for the Generalized Camassa-Holm equation,
 and their derivative may have a singularity
 (in which case the travelling wave is called a peakon).
 The existence result is based on a method developed by the same 
 author in a previous work. By giving examples, we show how  
 our method works.  
   
Submitted October 25, 2002. Published January 7, 2003.
Math Subject Classifications: 35J20, 49J10.
Key Words: variational problems; stability of peakons.