Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation
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Publication:5409692
DOI10.1063/1.4820786zbMath1297.35207OpenAlexW2006826366MaRDI QIDQ5409692
Publication date: 14 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4820786
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44)
Related Items (14)
Blow-up of solutions for the dissipative Dullin-Gottwald-Holm equation with arbitrary coefficients ⋮ Group Analysis of Some Camassa–Holm-Type Equations ⋮ Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited ⋮ Wave breaking for shallow water models with time decaying solutions ⋮ A new blow-up criterion for the \(N - abc\) family of Camassa-Holm type equation with both dissipation and dispersion ⋮ Wave breaking and global existence for the generalized periodic Camassa-Holm equation with the weak dissipation ⋮ Symmetry analysis, conserved quantities and applications to a dissipative DGH equation ⋮ Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion ⋮ On blow-up criteria for a class of nonlinear dispersive wave equations with dissipation ⋮ Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system ⋮ Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations ⋮ Optimal control of a viscous generalized \(\theta\)-type dispersive equation with weak dissipation ⋮ Conserved quantities, continuation and compactly supported solutions of some shallow water models
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