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

DOI10.3934/dcds.2020372zbMath1471.35240arXiv2004.03599OpenAlexW3097750030MaRDI QIDQ2030064

José Manuel Palacios

Publication date: 4 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03599

zbMATH Keywords

stabilityasymptotic stabilitysolitonspeakonsLiouville-type theoremsCamassa-Holm type equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items

Continuity properties of the solution map for the four-component Novikov system with peakon solutions ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ A view of the peakon world through the lens of approximation theory

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