Stability of the $μ$-Camassa-Holm Peakons

Details Stability of the $μ$-Camassa-Holm Peakons Stability of the $μ$-Camassa-Holm Peakons

2010-11-18

arxiv.org/abs/1011.4130v1

Mathematics

Analysis of PDEs

12 pages, 2 figures

Scientific paper

The $\mu$-Camassa-Holm ($\mu$CH) equation is a nonlinear integrable partial
differential equation closely related to the Camassa-Holm equation. We prove
that the periodic peaked traveling wave solutions (peakons) of the $\mu$CH
equation are orbitally stable.

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