Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations

DOI10.1016/J.JDE.2020.10.013zbMath1455.35225OpenAlexW3092855046MaRDI QIDQ2216054

Emil Novruzov

Publication date: 15 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.10.013

zbMATH Keywords

Camassa-Holm equationDegasperis-Procesi equationintegrable equationsb-family of equationsill-posedness of Cauchy problem in Sobolev spacespeakon-antipeakon solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25)

Related Items (5)

The stability of the b-family of peakon equations ⋮ Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations ⋮ Stability of singular solutions to the b-family of equations ⋮ Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation ⋮ 2-peakon solutions and non-uniqueness of the Fokas-Olver-Rosenau-Qiao equation with higher-order nonlinearity

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