A nonlinear generalization of the Camassa-Holm equation with peakon solutions

DOI10.3934/proc.2015.0029zbMath1339.35018arXiv1609.02473OpenAlexW2963281592MaRDI QIDQ260705

Stephen C. Anco, Elena Recio, Maria de los Santos Bruzon Gallego, Maria Luz Gandarias

Publication date: 22 March 2016

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

Full work available at URL: https://arxiv.org/abs/1609.02473

zbMATH Keywords

conservation lawsHamiltoniansymmetries

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (12)

Orbital stability of periodic peakons for a generalized Camassa–Holm equation ⋮ Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities ⋮ A general family of multi-peakon equations and their properties ⋮ A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations ⋮ Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Lie symmetry and \(\mu\)-symmetry methods for nonlinear generalized Camassa-Holm equation ⋮ Conserved norms and related conservation laws for multi-peakon equations ⋮ Blow-up phenomena and the local well-posedness and ill-posedness of the generalized Camassa-Holm equation in critical Besov spaces ⋮ Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with \(p\)-power nonlinearities in two dimensions ⋮ BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR A GENERALIZED CAMASSA-HOLM EQUATION ⋮ A view of the peakon world through the lens of approximation theory ⋮ Blow-up and peakons for a higher-order \(\mu\)-Camassa-Holm equation

Uses Software

• GeM

Cites Work

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