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Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
2018
Discrete and Continuous Dynamical Systems. Series A
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In this paper, we consider the orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity, which admits the single peakons and multi-peakons. We firstly show the existence of the single peakon and prove two useful conservation laws. Then by constructing certain Lyapunov functionals, we give the proof of stability result of peakons in the energy space H 1 (R)-norm. 2010 Mathematics Subject Classification. Primary: 35G25, 35L05; Secondary: 35B30.
doi:10.3934/dcds.2018242
fatcat:yt62w46jdvau3evjfdag5fhhze