A Dispersive Regularization for the Modified Camassa--Holm Equation
From MaRDI portal
Publication:4563969
DOI10.1137/17M1132756zbMath1403.35075arXiv1707.06377MaRDI QIDQ4563969
Publication date: 5 June 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.06377
selection principlenonuniquenessdispersive limitcorrect speed of singularitypeakon interactionsmoothed peakons
Interacting particle systems in time-dependent statistical mechanics (82C22) Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21) Soliton solutions (35C08)
Related Items (7)
Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ On conservative sticky peakons to the modified Camassa-Holm equation ⋮ Global \(N\)-peakon weak solutions to a family of nonlinear equations ⋮ The dynamic properties of solutions for a nonlinear shallow water equation
Cites Work
- Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion
- A convergent numerical scheme for the Camassa-Holm equation based on multipeakons
- An optimal transportation metric for solutions of the Camassa-Holm equation
- 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
- Patched peakon weak solutions of the modified Camassa-Holm equation
- Elastic collisions among peakon solutions for the Camassa-Holm equation
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- Integral and integrable algorithms for a nonlinear shallow-water wave equation
- Global wellposedness of cubic Camassa-Holm equations
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- Peakon-Antipeakon Interaction
- Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs
- GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation
- An integrable shallow water equation with peaked solitons
- On the blow-up of solutions to the integrable modified Camassa–Holm equation
- Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
- Global Convergence of a Sticky Particle Method for the Modified Camassa--Holm Equation
- Unnamed Item
- Unnamed Item
This page was built for publication: A Dispersive Regularization for the Modified Camassa--Holm Equation
