Abstract
Considered herein is the orbital stability in the energy space H1(R) of a decoupled sum of N peakons for a modified Camassa-Holm equation with higher-order nonlinearity. The equation studied here admits single peakon and multi-peakons. Based on our obtained result of the stability of a single peakon and then combining modulation argument with monotonicity of the local energy H1-norm, we get the stability of the sum of N peakons.
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