Properties of the solutions to the two-component \(b\)-family systems
From MaRDI portal
Publication:452425
DOI10.1016/j.na.2012.07.001zbMath1252.35191OpenAlexW2001722852MaRDI QIDQ452425
Publication date: 21 September 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2012.07.001
global existencelocal well-posednessCamassa-Holm equationDegasperis-Procesi equationpersistence propertiespropagation speed
First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44)
Related Items (7)
On initial data problem for a periodic two-component b-family system ⋮ Non-uniform continuity on initial data for the two-component b-family system in Besov space ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Blow-up issues for a two-component system modelling water waves with constant vorticity ⋮ A class of blowup and global analytical solutions of the viscoelastic Burgers' equations ⋮ The properties of solutions to the dissipative 2-component Camassa–Holm system ⋮ On the Cauchy problem for a two-component b-family system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions for a two-component Camassa-Holm shallow water system
- Self-similar blowup solutions to the 2-component Degasperis-Procesi shallow water system
- On an integrable two-component Camassa-Holm shallow water system
- On the Cauchy problem of a two-component b-family system
- On a two-component Degasperis-Procesi shallow water system
- Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
- Infinite propagation speed for a two component Camassa-Holm equation
- Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
- Wave breaking for nonlinear nonlocal shallow water equations
- Global existence for a new periodic integrable equation.
- On asymptotically equivalent shallow water wave equations
- A 2-component or \(N=2\) supersymmetric Camassa-Holm equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Infinite propagation speed for the Degasperis-Procesi equation
- Two-component CH system: inverse scattering, peakons and geometry
- Finite propagation speed for the Camassa–Holm equation
- Global solutions and blow-up phenomena for the periodic b -equation
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Extended Camassa-Holm Hierarchy and Conserved Quantities
- Euler-Poincaré Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems
- A shallow water equation on the circle
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
This page was built for publication: Properties of the solutions to the two-component \(b\)-family systems
