Some properties of solutions to the weakly dissipative \(b\)-family equation
From MaRDI portal
Publication:420021
DOI10.1016/j.nonrwa.2011.07.020zbMath1238.35141OpenAlexW1970837255MaRDI QIDQ420021
Publication date: 20 May 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.020
KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items (7)
On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations ⋮ On the Cauchy problem for a weakly dissipative \(\mu\)-Degasperis-Procesi equation ⋮ On blow-up of solutions to a weakly dissipative two-component Camassa-Holm system ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term ⋮ The properties of solutions to the dissipative 2-component Camassa–Holm system ⋮ On the Cauchy problem for a class of weakly dissipative one-dimensional shallow water equations
Cites Work
- Unnamed Item
- Unnamed Item
- Blow-up phenomena and global existence for the nonuniform weakly dissipative \(b\)-equation
- Wave breaking and propagation speed for a class of nonlocal dispersive \(\theta \)-equations
- Blow-up of solutions to a nonlinear dispersive rod equation
- Blow-up of solutions to the DGH equation
- Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
- Wave breaking for a periodic shallow water equation.
- Breakdown of a shallow water equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Wave breaking for a shallow water equation
- Blow-up phenomenon for the integrable Degasperis-Procesi equation
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- A new asymptotic behavior of solutions to the Camassa-Holm equation
- On solutions to the Holm–Staleyb-family of equations
- Blow up, global existence, and infinite propagation speed for the weakly dissipative Camassa–Holm equation
- An integrable shallow water equation with peaked solitons
- On Well-Posedness Results for Camassa-Holm Equation on the Line: A Survey
This page was built for publication: Some properties of solutions to the weakly dissipative \(b\)-family equation
