Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation

DOI10.1007/s00033-022-01739-3zbMath1487.35061arXiv2112.10366OpenAlexW4224110963MaRDI QIDQ2134914

Zhenya Yan, Guoquan Qin, Bo-ling Guo

Publication date: 4 May 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10366

zbMATH Keywords

conserved quantitiesorbital stabilitygeneralized higher-order CH equationglobal weak peakon solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Wave equation (35L05) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Related Items (3)

Orbital stability of the sum of \(N\) peakons for the generalized higher-order Camassa-Holm equation ⋮ Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ On the finite time blow-up for the high-order Camassa-Holm-Fokas-Olver-Rosenau-Qiao equations

Cites Work

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• Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
• An integrable equation with nonsmooth solitons
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Stability of a class of solitary waves in compressible elastic rods
• Wave breaking for nonlinear nonlocal shallow water equations
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• Special issue on the occasion of the 50th volume
• Ill-posedness of the Camassa-Holm and related equations in the critical space
• Stability of peakons for the generalized modified Camassa-Holm equation
• A few remarks on the Camassa-Holm equation.
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Wave-breaking and peakons for a modified Camassa-Holm equation
• The Camassa Holm equation: Conserved quantities and the initial value problem
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation
• Curvature blow-up for the higher-order Camassa-Holm equations
• On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
• The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
• Inverse scattering transform for the Camassa–Holm equation
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation
• A general family of multi-peakon equations and their properties
• Existence time for the Camassa-Holm equation and the critical Sobolev index
• Orbital stability of solitary waves for a shallow water equation

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