Abstract
The μ-Camassa–Holm (μCH) 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 μCH equation are orbitally stable.
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Acknowledgements
The authors would like to express their gratitude to the referees for their useful and constructive comments.
The work of R.M. Chen was partially supported by the NSF grant DMS-0908663. J. Lenells acknowledges support from the EPSRC, UK. The work of Y. Liu was partially supported by the NSF grants DMS-0906099 and DMS-1207840 and the NHARP grant 003599-0001-2009.
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Communicated by Michael I. Weinstein.
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Chen, R.M., Lenells, J. & Liu, Y. Stability of the μ-Camassa–Holm Peakons. J Nonlinear Sci 23, 97–112 (2013). https://doi.org/10.1007/s00332-012-9141-6
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DOI: https://doi.org/10.1007/s00332-012-9141-6