On the finite time singularities for a class of Degasperis-Procesi equations
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Publication:1994845
DOI10.1016/j.nonrwa.2018.04.005zbMath1403.35086OpenAlexW2806485588WikidataQ129753388 ScholiaQ129753388MaRDI QIDQ1994845
Publication date: 2 November 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.04.005
Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)
Related Items (3)
Formation of singularity of solution to a nonlinear shallow water equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The dynamic properties of solutions for a nonlinear shallow water equation
Cites Work
- On the Cauchy problem for the periodic generalized Degasperis-Procesi equation
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- On the Cauchy problem for an integrable equation with peakon solutions
- Global weak solutions for a new periodic integrable equation with peakon solutions
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- Wave breaking for the Whitham equation with fractional dispersion
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- A numerical and theoretical study of certain nonlinear wave phenomena
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Multi-peakon solutions of the Degasperis–Procesi equation
- Global solutions to a new integrable equation with peakons
- On the Cauchy problem for a generalized Degasperis–Procesi equation
- On the Blow-up Phenomena for the Degasperis-Procesi Equation
- Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
- Variational methods and applications to water waves
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