A rigidity property for the Novikov equation and the asymptotic stability of peakons

DOI10.1007/s00205-021-01658-zzbMath1468.35167OpenAlexW3157671995MaRDI QIDQ2036634

Dehua Wang, Robin Ming Chen, Wei Lian, Run-Zhang Xu

Publication date: 30 June 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-021-01658-z

zbMATH Keywords

weak solutionsNovikov equationpeakons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Weak solutions to PDEs (35D30) Soliton solutions (35C08)

Related Items

The stability of the b-family of peakon equations ⋮ Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation ⋮ Blow-up analysis for the \(ab\)-family of equations ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system ⋮ Small solitons and multisolitons in the generalized Davey-Stewartson system ⋮ A view of the peakon world through the lens of approximation theory ⋮ The d-bar formalism for the modified Veselov-Novikov equation on the half-plane

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