Spectral and linear stability of peakons in the Novikov equation
Spectral and linear stability of peakons in the Novikov equation
Abstract The Novikov equation is a peakon equation with cubic nonlinearity, which, like the Camassa–Holm and the Degasperis–Procesi, is completely integrable. In this paper, we study the spectral and linear stability of peakon solutions of the Novikov equation. We prove spectral instability of the peakons in . To do so, …