Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
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Publication:1791642
DOI10.3934/dcds.2018242zbMath1406.35044OpenAlexW2888165265WikidataQ129322478 ScholiaQ129322478MaRDI QIDQ1791642
Publication date: 10 October 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018242
Stability in context of PDEs (35B35) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (14)
Orbital stability of the sum of \(N\) peakons for the generalized higher-order Camassa-Holm equation ⋮ Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Orbital stability of the sum of \(N\) peakons for the generalized modified Camassa-Holm equation ⋮ Stability of traveling wave solutions for the second-order Camassa-Holm equation ⋮ Orbital stability of peakons and multi-peakons for a generalized cubic-quintic Camassa-Holm type equation ⋮ Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation ⋮ Stability of periodic peakons for a nonlinear quartic \(\mu\)-Camassa-Holm equation ⋮ Global \(N\)-peakon weak solutions to a family of nonlinear equations ⋮ Stability in the energy space of the sum of N peakons for a modified Camassa-Holm equation with higher-order nonlinearity ⋮ Blow-up phenomena for the generalized FORQ/MCH equation ⋮ Existence results of solitary wave solutions for a delayed Camassa-Holm-KP equation ⋮ Orbital stability of periodic peakons for the generalized modified Camassa-Holm equation ⋮ Global weak solutions to the generalized mCH equation via characteristics ⋮ 2-peakon solutions and non-uniqueness of the Fokas-Olver-Rosenau-Qiao equation with higher-order nonlinearity
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