Blow-up phenomena and peakons for the \(b\)-family of FORQ/MCH equations
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Publication:1731867
DOI10.1016/j.jde.2018.11.018zbMath1409.35037OpenAlexW2901582547WikidataQ128941759 ScholiaQ128941759MaRDI QIDQ1731867
Shaojie Yang, Zhijun Qiao, Tian-Zhou Xu
Publication date: 14 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.11.018
Related Items
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions ⋮ Orbital stability of peakons and multi-peakons for a generalized cubic-quintic Camassa-Holm type equation ⋮ Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation ⋮ Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model
Cites Work
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- Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation
- Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion
- Analyticity of periodic traveling free surface water waves with vorticity
- Integrable hierarchy, \(3\times 3\) constrained systems, and parametric solutions
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- A note on well-posedness for Camassa-Holm equation.
- On asymptotically equivalent shallow water wave equations
- A new integrable hierarchy, parametric solutions and traveling wave solutions
- Traveling wave solutions of the Degasperis-Procesi equation
- A few remarks on the Camassa-Holm equation.
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Stability of the Camassa-Holm solitons
- 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
- On the blow-up rate and the blow-up set of breaking waves for a shallow water 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
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Blow-up phenomenon for the integrable Degasperis-Procesi equation
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition
- On the uniqueness in critical spaces for compressible Navier-Stokes equations
- Global wellposedness of cubic Camassa-Holm equations
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- On the scattering problem for the 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
- New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
- Stability of peakons for the Degasperis-Procesi equation
- Long-time Asymptotics for the Camassa–Holm Equation
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Multi-peakon solutions of the Degasperis–Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- Particle trajectories in solitary water waves
