Local well-posedness and persistence properties for a model containing both Camassa-Holm and Novikov equation
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Publication:467847
DOI10.1186/1687-2770-2014-9zbMath1304.35220OpenAlexW2124246075WikidataQ59324330 ScholiaQ59324330MaRDI QIDQ467847
Chun Wu, Baoshuai Zhang, Shouming Zhou
Publication date: 5 November 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2014-9
Cites Work
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- The Cauchy problem for the integrable Novikov equation
- A model containing both the Camassa-Holm and Degasperis-Procesi equations
- A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
- Well-posedness and persistence properties for the Novikov equation
- Analyticity of periodic traveling free surface water waves with vorticity
- Well-posedness and blow-up phenomena for a higher order shallow water equation
- Blow-up phenomenon for the integrable Novikov equation
- Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- Riemann-Hilbert approach for the Camassa-Holm equation on the line
- New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
- The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Stokes waves
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- New peaked solitary wave solutions of the generalized Camassa-Holm equation
- Global weak solutions for a shallow water equation
- Peakon solutions of the Novikov equation and properties of the data-to-solution map
- Stability of the Camassa-Holm solitons
- Propagation of ultra-short optical pulses in cubic nonlinear media
- 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
- 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
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Dark solitons of the Qiao's hierarchy
- Global weak solutions for the Novikov equation
- A new asymptotic behavior of solutions to the Camassa-Holm equation
- Inverse scattering transform for the Camassa–Holm equation
- Integrable peakon equations with cubic nonlinearity
- Generalizations of the Camassa–Holm equation
- The initial-value problem for the Korteweg-de Vries equation
- Global weak solutions for a shallow water equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Conservation laws of the Camassa–Holm equation
- Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
- Particle trajectories in solitary water waves
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
- The Cauchy problem for the Novikov equation
- On the Cauchy problem for the Camassa-Holm equation
