On the Cauchy problem for a four-component Camassa-Holm type system
From MaRDI portal
Publication:255473
DOI10.3934/dcds.2015.35.5153zbMath1353.35125OpenAlexW2318801177MaRDI QIDQ255473
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.5153
blow-upglobal existencelocal well-posednessbi-Hamiltonian structureinfinitely many conserved quantities
Related Items (4)
Global weak solutions for a two-component Camassa–Holm system with an arbitrary smooth function ⋮ Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function ⋮ Global existence for a two-component Camassa-Holm system with an arbitrary smooth function ⋮ Blow-up phenomena and global existence for a two-component Camassa-Holm system with an arbitrary smooth function
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system
- Multi-component integrable systems and invariant curve flows in certain geometries
- Integrable peakon systems with weak kink and kink-peakon interactional solutions
- Analyticity of periodic traveling free surface water waves with vorticity
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- A four-component Camassa-Holm type hierarchy
- On the well-posedness of the Degasperis-Procesi equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Initial boundary value problems for nonlinear dispersive wave equations
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- The Hamiltonian structure of the Camassa-Holm equation
- Stokes waves
- On the Cauchy problem for an integrable equation with peakon solutions
- Special issue on the occasion of the 50th volume
- Global weak solutions for a shallow water equation
- A few remarks on the Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- Global weak solutions for a new periodic integrable equation with peakon solutions
- 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
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions
- On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- A Synthetical Two-Component Model with Peakon Solutions
- Fourier Analysis and Nonlinear Partial Differential Equations
- Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples
- Global weak solutions for the Novikov equation
- Inverse scattering transform for the Degasperis–Procesi equation
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Integrable peakon equations with cubic nonlinearity
- Generalizations of the Camassa–Holm equation
- Global weak solutions for a shallow water equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Well-posedness and global existence for the Novikov equation
- Bi-Hamiltonian structure of multi-component Novikov equation
- A new integrable two-component system with cubic nonlinearity
- Particle trajectories in solitary water waves
- The Cauchy problem for the Novikov equation
- On the Cauchy problem for the Camassa-Holm equation
This page was built for publication: On the Cauchy problem for a four-component Camassa-Holm type system
