Orbital stability of periodic peakons for the generalized modified Camassa-Holm equation
type: Item
instance of: scholarly article
title: Orbital stability of periodic peakons for the generalized modified Camassa-Holm equation
zbMATH Open document ID: 1480.35092
author: Byungsoo Moon
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G25
zbMATH DE Number: 7451504
zbMATH Keywords: generalized modified Camassa-Holm equation
zbMATH Keywords: periodic peakon
zbMATH Keywords: orbital stability
MaRDI profile type: Publication
full work available at URL: dcdss.2021123
OpenAlex ID: W3205953511
cites work: A general family of multi-peakon equations and their properties
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation
cites work: Global conservative solutions for a modified periodic coupled Camassa-Holm system
cites work: Particle trajectories in extreme Stokes waves
cites work: Special issue on the occasion of the 50th volume
cites work: The trajectories of particles in Stokes waves
cites work: Q4225587
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Particle trajectories in solitary water waves
cites work: On the geometric approach to the motion of inertial mechanical systems
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Orbital stability of solitary waves for a shallow water equation
cites work: Stability of peakons
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
cites work: On asymptotically equivalent shallow water wave equations
cites work: Stability of multipeakons
cites work: On a class of physically important integrable equations
cites work: The Korteweg-de Vries equation and beyond
cites work: Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
cites work: Wave-breaking and peakons for a modified Camassa-Holm equation
cites work: Stability of peakons for the generalized modified Camassa-Holm equation
cites work: Global weak solutions for the two-component Novikov equation
cites work: The Cauchy problem for the Novikov equation
cites work: Smooth and peaked solutions of the Camassa-Holm equation and applications
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: Integrable peakon equations with cubic nonlinearity
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
cites work: The Camassa–Holm equation for water waves moving over a shear flow
cites work: Q5693295
cites work: A Variational Approach to the Stability of Periodic Peakons
cites work: Integrable evolution equations on spaces of tensor densities and their peakon solutions
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity
cites work: Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
cites work: Stability of peakons for the Novikov equation
cites work: Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation
cites work: A shallow water equation as a geodesic flow on the Bott-Virasoro group
cites work: Single peaked traveling wave solutions to a generalized \(\mu\)-Novikov equation
cites work: Generalizations of the Camassa–Holm equation
cites work: Nonlinear Waves: An Introduction
cites work: A new integrable equation with cuspons and W/M-shape-peaks solitons
cites work: An integrable equation with nonsmooth solitons
cites work: Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
cites work: Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
cites work: Stokes waves
cites work: Global weak solutions for the Novikov equation
cites work: Low regularity of solutions to the rotation-Camassa-Holm type equation with the Coriolis effect
cites work: On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation
DOI: 10.3934/DCDSS.2021123
description: scientific article; zbMATH DE number 7451504