Global weak solutions to the generalized mCH equation via characteristics

DOI10.3934/dcdsb.2021229zbMath1500.35099OpenAlexW3200148874MaRDI QIDQ2090358

Yu Gao, Fanqin Zeng, Xiao-Ping Xue

Publication date: 25 October 2022

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2021229

zbMATH Keywords

Lagrangian dynamicsglobal weak solutionslocal classical solutionsdouble mollification methodgeneralized modified Camassa-Holm (gmCH) equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30)

Cites Work

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• The modified Camassa-Holm equation in Lagrangian coordinates
• Stability of peakons for the generalized modified Camassa-Holm equation
• Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
• The Korteweg-de Vries equation and beyond
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Global \(N\)-peakon weak solutions to a family of nonlinear equations
• Blow-up phenomena for the generalized FORQ/MCH equation
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• Stability in the energy space of the sum of N peakons for a modified Camassa-Holm equation with higher-order nonlinearity
• On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation
• A general family of multi-peakon equations and their properties

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