Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation
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Publication:484447
DOI10.1007/s00332-014-9212-yzbMath1309.35109OpenAlexW2085858607MaRDI QIDQ484447
A. Alexandrou Himonas, Dionyssios Mantzavinos
Publication date: 7 January 2015
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-014-9212-y
Sobolev spacesCauchy problemwell-posednessHölder continuitycubic nonlinearitiesintegrable equationsNovikov equationFokas-Olver-Rosenau-Qiao equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
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Cites Work
- The Hölder continuity of the solution map to the \(b\)-family equation in weak topology
- Non-uniform dependence on initial data for the CH equation on the line.
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- On 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
- On a class of physically important integrable equations
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Stokes waves
- On the Cauchy problem for an integrable equation with peakon solutions
- Closed-loop persistent identification of linear systems with unmodeled dynamics and stochastic disturbances
- The Cauchy problem for an integrable shallow-water equation
- Stability of the Camassa-Holm solitons
- Periodic and solitary-wave solutions of the Degasperis-Procesi 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
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Traveling wave solutions of the Camassa-Holm equation
- The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
- The Periodic Cauchy Problem for Novikov's Equation
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Non-Uniform Dependence for the Periodic CH Equation
- Generalizations of the Camassa–Holm equation
- Perturbative symmetry approach
- An integrable shallow water equation with peaked solitons
- Commutator estimates
- Hölder continuity of the solution map for the Novikov equation
- Particle trajectories in solitary water waves
- The Cauchy problem for the Novikov equation
- On the Cauchy problem for the Camassa-Holm equation
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