New solutions with peakon creation in the Camassa–Holm and Novikov equations

DOI10.1080/14029251.2015.996435zbMath1421.76190arXiv1310.4927OpenAlexW2963362066MaRDI QIDQ5230970

Marcus Kardell

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4927

zbMATH Keywords

weak solutionpeakonCamassa-HolmNovikov

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Soliton solutions (35C08)

Related Items

Distributional profiles for traveling waves in the Camassa-Holm equation ⋮ A view of the peakon world through the lens of approximation theory

Uses Software

• Jets

Cites Work

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The trajectories of particles in Stokes waves
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Sufficient set of integrability conditions of an orthonomic system
• An extension of integrable peakon equations with cubic nonlinearity
• Integrable peakon equations with cubic nonlinearity
• Generalizations of the Camassa–Holm equation
• An integrable shallow water equation with peaked solitons
• Particle trajectories in solitary water waves
• Unnamed Item
• Unnamed Item
• Unnamed Item