Stability of Peakons for the Generalized Camassa-Holm Equation
Date
2003-01-07
Authors
Lopes, Orlando
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of minimizers for a constrained variational problems in H1(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.
Description
Keywords
Variational problems, Stability of peakons
Citation
Lopes, O. (2003). Stability of peakons for the generalized Camassa-Holm equation. <i>Electronic Journal of Differential Equations, 2003</i>(05), pp. 1-12.
Rights
Attribution 4.0 International