Orbital stability of peakons for the Degasperis-Procesi equation with strong dispersion

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

zbMATH Keywords

one space dimensionorbital stabilityDegasperis-Procesi equationpeakonsstrong dispersion

Mathematics Subject Classification ID

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

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• Symplectic structures, their Bäcklund transformations and hereditary symmetries
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• 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

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