Stability of solitary waves for the modified Camassa-Holm equation

DOI10.1007/s40818-021-00104-3zbMath1483.35164OpenAlexW3167394943MaRDI QIDQ2119808

Ji Li, Yue Liu

Publication date: 30 March 2022

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40818-021-00104-3

zbMATH Keywords

solitary wavesorbital stabilityspectral stabilitymodified Camassa-Holm equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51)

Related Items (6)

Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Stability of traveling wave solutions for the second-order Camassa-Holm equation ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation ⋮ Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Blow-up analysis for the \(ab\)-family of equations

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
• Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Stability theory of solitary waves in the presence of symmetry. I
• Wave breaking for nonlinear nonlocal shallow water equations
• Lectures on nonlinear hyperbolic differential equations
• Special issue on the occasion of the 50th volume
• Stability of the Camassa-Holm solitons
• Propagation of ultra-short optical pulses in cubic nonlinear media
• The Korteweg-de Vries equation and beyond
• 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
• Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Smooth and singular multisoliton solutions of a modified Camassa–Holm equation with cubic nonlinearity and linear dispersion
• Orbital stability of solitary waves for a shallow water equation

This page was built for publication: Stability of solitary waves for the modified Camassa-Holm equation