Continuity and analyticity for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs
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Publication:504125
DOI10.1007/s00605-016-0926-9zbMath1356.35073OpenAlexW2397178125MaRDI QIDQ504125
Publication date: 25 January 2017
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-016-0926-9
Smoothness and regularity of solutions to PDEs (35B65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (3)
A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons ⋮ Continuity for a generalized cross-coupled Camassa-Holm system with waltzing peakons and higher-order nonlinearities ⋮ The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa-Holm and Degasperis-Procesi equations
Cites Work
- Unnamed Item
- Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
- The properties of solutions for a generalized \(b\)-family equation with peakons
- The Hölder continuity of the solution map to the \(b\)-family equation in weak topology
- On the persistence properties of the cross-coupled Camassa-Holm system
- Euler equations on a semi-direct product of the diffeomorphisms group by itself
- Non-uniform dependence on initial data for the CH equation on the line.
- On well-posedness of the Degasperis-Procesi equation
- Well-posedness and blowup phenomena for a cross-coupled Camassa-Holm equation with waltzing peakons and compacton pairs
- Riemann-Hilbert approach for the Camassa-Holm equation on the line
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Pseudodifferential operators and nonlinear PDE
- Wave breaking for nonlinear nonlocal shallow water equations
- Analyticity of the Cauchy problem for an integrable evolution equation
- The Cauchy problem for an integrable shallow-water equation
- Non-uniform continuity in \(H^1\) of the solution map of the CH equation
- On the scattering problem for the Camassa-Holm equation
- Waltzing peakons and compacton pairs in a cross-coupled Camassa–Holm equation
- Inverse scattering transform for the Camassa–Holm equation
- An integrable shallow water equation with peaked solitons
- Gevrey regularity and analyticity for Camassa-Holm type systems
- Conservation laws of the Camassa–Holm equation
- Commutator estimates
- Hölder continuity of the solution map for the Novikov equation
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