Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system
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Publication:2006788
DOI10.1007/s00605-020-01411-wzbMath1450.35076OpenAlexW3016291256MaRDI QIDQ2006788
Publication date: 12 October 2020
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-020-01411-w
Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
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Cites Work
- Breaking waves and persistence property for a two-component Camassa-Holm system
- Uniqueness of conservative solutions to the two-component Camassa-Holm system via characteristics
- On solitary waves and wave-breaking phenomena for a generalized two-component integrable Dullin-Gottwald-Holm system
- On the Cauchy problem for the two-component Dullin-Gottwald-Holm system
- Local well-posedness and stability of solitary waves for the two-component Dullin-Gottwald-Holm system
- On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system
- Blow-up for the two-component Camassa-Holm system
- On the Cauchy problem for the two-component Camassa-Holm system
- Wave breaking for the periodic weakly dissipative Dullin-Gottwald-Holm equation
- Global weak solutions for a two-component Camassa-Holm shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- Two-component integrable systems modelling shallow water waves: the constant vorticity case
- Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Blow-up of solutions to the DGH equation
- Symmetry analysis, conserved quantities and applications to a dissipative DGH equation
- Well-posedness of a class of solutions to an integrable two-component Camassa-Holm system
- Well-posedness, blow up, and global existence for an integrable shallow water equation
- Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation
- On the solutions of the Dullin-Gottwald-Holm equation in Besov spaces
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Local-in-space blow-up and symmetric waves for a generalized two-component Camassa-Holm system
- On the persistence and blow up for the generalized two-component Dullin-Gottwald-Holm system
- Lipschitz metric for conservative solutions of the two-component Camassa-Holm system
- The local criteria for blowup of the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system
- Global existence and blow-up solutions for a nonlinear shallow water equation
- Blowup issues for a class of nonlinear dispersive wave equations
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- On permanent and breaking waves in hyperelastic rods and rings
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- Global weak solutions for the Dullin-Gottwald-Holm equation
- On the wave breaking phenomena for the generalized periodic two-component Dullin-Gottwald-Holm system
- On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system
- Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited
- Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
- On the blow-up phenomena of the periodic Dullin–Gottwald–Holm equation
- Symmetric Waves Are Traveling Waves
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Global Solutions for the Two-Component Camassa–Holm System
- A remark on wave breaking for the Dullin–Gottwald–Holm equation
- Breaking Waves And Solitary Waves To The Rotation-Two-Component Camassa--Holm System
- Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation
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