Stability of the $μ$ -Camassa-Holm Peakons

preprint2010arXivOpen access

The $μ$ -Camassa-Holm ( $μ$ 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 $μ$ CH equation are orbitally stable.

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Stability of the $μ$ -Camassa-Holm Peakons

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Stability of the μμμ-Camassa-Holm Peakons

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Stability of the $μ$ -Camassa-Holm Peakons