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Orbital and asymptotic stability of a train of peakons for the Novikov equation

2019
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Discrete and Continuous Dynamical Systems. Series A
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The Novikov equation is an integrable Camassa-Holm type equation with cubic nonlinearity. One of the most important features of this equation is the existence of peakon and multi-peakon solutions, i.e. peaked traveling waves behaving as solitons. This paper aims to prove both, the orbital and asymptotic stability of peakon trains solutions, i.e. multi-peakon solutions such that their initial configuration is increasingly ordered. Furthermore, we give an improvement of the orbital stability of a

doi:10.3934/dcds.2020372
fatcat:ak4rtbmztbfxto66irphlwb5fe