Orbital stability of peakons for the Degasperis-Procesi equation with strong dispersion
From MaRDI portal
Publication:975852
DOI10.1016/j.na.2010.03.050zbMath1204.35042OpenAlexW1981930846MaRDI QIDQ975852
Xingyu Yang, Zheng-Rong Liu, Yang-Geng Fu
Publication date: 11 June 2010
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.2010.03.050
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Initial value problems for nonlinear higher-order PDEs (35G25) Perturbations in context of PDEs (35B20) Solitary waves in solid mechanics (74J35)
Related Items (2)
The stability of solutions for the generalized Degasperis-Procesi equation with variable coefficients ⋮ A simple approach for reducing the order of equations with higher order nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations
- Global weak solutions and wave breaking phenomena to the periodic Degasperis-Procesi equation with strong dispersion
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- The bifurcation and peakon for Degasperis-Procesi equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Global weak solutions and breaking waves to the Degasperis-Procesi equation with linear dispersion
- Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Global existence and blow-up solutions for a nonlinear shallow water equation
- Stability of peakons for the Degasperis-Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Orbital stability of solitary waves for a shallow water equation
This page was built for publication: Orbital stability of peakons for the Degasperis-Procesi equation with strong dispersion