Peakon-antipeakon interactions in the Degasperis-Procesi equation

DOI10.1090/conm/593/11873zbMath1287.37052arXiv1301.0171OpenAlexW1494272064MaRDI QIDQ5417084

Lingjun Zhou, Jacek Szmigielski

Publication date: 15 May 2014

Published in: Algebraic and Geometric Aspects of Integrable Systems and Random Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0171

zbMATH Keywords

Degasperis-Procesi equationpeakons

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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse problems involving ordinary differential equations (34A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (8)

Equations with peakon solutions in the negative order Camassa-Holm hierarchy ⋮ A general family of multi-peakon equations and their properties ⋮ Ghostpeakons and characteristic curves for the Camassa-Holm, Degasperis-Procesi and Novikov equations ⋮ Multi-shockpeakons for the stochastic Degasperis-Procesi equation ⋮ Lax integrability and the peakon problem for the modified Camassa-Holm equation ⋮ Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ 2-peakon solutions and non-uniqueness of the Fokas-Olver-Rosenau-Qiao equation with higher-order nonlinearity

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