A sine-type Camassa-Holm equation: local well-posedness, Hölder continuity, and wave-breaking analysis
DOI10.1007/s00605-022-01670-9zbMath1500.35098OpenAlexW4205620317MaRDI QIDQ2088022
Guoquan Qin, Zhenya Yan, Bo-ling Guo
Publication date: 21 October 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-022-01670-9
well-posednessHölder continuitywave breakingblow-up criterion and quantitysine-type Camassa-Holm equation
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
- An integrable equation with nonsmooth solitons
- Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation
- Analyticity of periodic traveling free surface water waves with vorticity
- On the singularity formation for a class of periodic higher-order Camassa-Holm equations
- Dissipative solutions for the Camassa-Holm equation
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- A note on well-posedness for Camassa-Holm equation.
- Geodesic flow on the diffeomorphism group of the circle
- Multipeakons and the classical moment problem
- Geometric integrability of the Camassa-Holm equation
- 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
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation
- Curvature blow-up for the higher-order Camassa-Holm equations
- Traveling wave solutions of the Camassa-Holm equation
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- The Modified Camassa-Holm Equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- Inverse scattering transform for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Long-time Asymptotics for the Camassa–Holm Equation
- Generalizations of the Camassa–Holm equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- On the Cauchy problem of generalized Fokas–Olver–Resenau–Qiao equation
- Commutator estimates
- A general family of multi-peakon equations and their properties
- Particle trajectories in solitary water waves
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- Integrable equations arising from motions of plane curves
- Analysis on the blow-up of solutions to a class of integrable peakon equations
This page was built for publication: A sine-type Camassa-Holm equation: local well-posedness, Hölder continuity, and wave-breaking analysis