Well-posedness of the double extended cubic peakon system

DOI10.1016/j.aml.2020.106297zbMath1436.35071OpenAlexW3008988376MaRDI QIDQ1985388

Bo-ling Guo, Shu-Jun You

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106297

zbMATH Keywords

well-posednessDegasperis-Procesi equationNovikov equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Cites Work

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• Double extended cubic peakon equation
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• On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
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• Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
• Global existence for a new periodic integrable equation.
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• Global weak solutions for a new periodic integrable equation with peakon solutions
• Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• An extension of integrable peakon equations with cubic nonlinearity
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Generalizations of the Camassa–Holm equation
• Multi-peakon solutions of the Degasperis–Procesi equation
• A Note on the Degasperis-Procesi Equation
• Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation

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