Stability of peakons for the generalized Camassa-Holm equation

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 re...

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Bibliographic Details
Main Author: Orlando Lopes
Format: Article
Language:English
Published: Texas State University 2003-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/05/abstr.html