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 Stability in the energy space of the sum of $N$ peakons for a Camassa-Holm-type equation with quartic nonlinearity Bull. Korean Math. Soc. 2019 Vol. 56, No. 3, 703-728 https://doi.org/10.4134/BKMS.b180512Published online May 31, 2019 Xingxing Liu China University of Mining and Technology Abstract : Considered herein is the orbital stability in the energy space $H^1(\R)$ of a decoupled sum of $N$ peakons for a Camassa-Holm-type equation with quartic nonlinearity, which admits single peakon and multi-peakons. Based on our obtained result of the stability of a single peakon, then combining modulation argument with monotonicity of local energy $H^1$-norm, we get the stability of the sum of $N$ peakons. Keywords : Camassa-Holm equation, quartic nonlinearity, peakons, orbital stability MSC numbers : 35G25, 35L05, 35Q51 Full-Text :