On the wave breaking phenomena for the generalized periodic two-component Dullin-Gottwald-Holm system
From MaRDI portal
Publication:2872323
DOI10.1063/1.4758127zbMath1452.76034OpenAlexW2012944115MaRDI QIDQ2872323
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4758127
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Blow-up in context of PDEs (35B44) Euler equations (35Q31)
Related Items (6)
Nonuniform dependence of the R‐b‐family system in Besov spaces ⋮ Blow-up phenomena for the rotation-two-component Camassa–Holm system ⋮ On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa-Holm system ⋮ Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system ⋮ On the persistence and blow up for the generalized two-component Dullin-Gottwald-Holm system ⋮ Global existence of weak solutions to a weakly dissipative modified two-component Dullin-Gottwald-Holm system
Cites Work
- Unnamed Item
- On the Cauchy problem for the two-component Camassa-Holm system
- On an integrable two-component Camassa-Holm shallow water system
- Two-component integrable systems modelling shallow water waves: the constant vorticity case
- On smooth traveling waves of an integrable two-component Camassa-Holm shallow water system
- Global conservative solutions of the Camassa-Holm equation
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Infinite propagation speed for a two component Camassa-Holm equation
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- On the blow-up of solutions of a periodic shallow water equation
- Global weak solutions for a shallow water equation
- Breakdown of a shallow water equation
- Classical solutions of the periodic Camassa-Holm equation.
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- A 2-component or \(N=2\) supersymmetric Camassa-Holm equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Blowup phenomena for a new periodic nonlinearly dispersive wave equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
- Non-Uniform Dependence for the Periodic CH Equation
- Variational derivation of the Camassa-Holm shallow water equation
- Global weak solutions for a shallow water equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Water waves and integrability
- On the Cauchy problem for the Camassa-Holm equation
This page was built for publication: On the wave breaking phenomena for the generalized periodic two-component Dullin-Gottwald-Holm system