Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
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 …