Wave breaking and propagation speed for the Camassa-Holm equation with \(\kappa \neq 0\)

DOI10.1016/j.nonrwa.2010.12.005zbMath1215.35047OpenAlexW1994929667MaRDI QIDQ533081

Huiping Chen, Yong Zhou

Publication date: 2 May 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.12.005

zbMATH Keywords

singularityone space dimension

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (17)

Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ Blow-up of solutions for the dissipative Dullin-Gottwald-Holm equation with arbitrary coefficients ⋮ Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited ⋮ On a shallow water equation perturbed in Schwartz class ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ Infinite propagation speed for the two component \(b\)-family system ⋮ On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient ⋮ Nonuniform dependence on initial data of a periodic Camassa-Holm system ⋮ Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation ⋮ On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation ⋮ Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with \(\kappa = 0\) ⋮ Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations ⋮ On initial data problem for a periodic two-componentμ-Hunter-Saxton system ⋮ The properties of solutions to the dissipative 2-component Camassa–Holm system ⋮ Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model ⋮ Blow-up criteria for modified two-component generalization of hyper-elastic rod equation ⋮ The dynamic properties of solutions for a nonlinear shallow water equation

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