Geodesic
Stability of peakons for the generalized Camassa-Holm equation
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35J20, 49J10
Keywords: variational problems, stability of peakons 
@article{EJDE_2003__2003__a162,
     author = {Lopes, Orlando},
     title = {Stability of peakons for the generalized {Camassa-Holm} equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a162/}
}
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Lopes, Orlando. Stability of peakons for the generalized Camassa-Holm equation. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a162/