A note on the Cauchy problem for the two-component Novikov system
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Publication:2044656
DOI10.1007/s00028-020-00657-zzbMath1470.35043OpenAlexW3118704626MaRDI QIDQ2044656
Haiquan Wang, Lili Wu, Gezi Chong
Publication date: 10 August 2021
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-020-00657-z
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Related Items (5)
On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law ⋮ On the Cauchy problem for the two-component Novikov system with peakons ⋮ Continuity properties of the solution map for the four-component Novikov system with peakon solutions ⋮ On the Cauchy problem for a four‐component Novikov system with peaked solutions ⋮ A view of the peakon world through the lens of approximation theory
Cites Work
- Unnamed Item
- Unnamed Item
- The Hölder continuity of the solution map to the \(b\)-family equation in weak topology
- The Cauchy problem for the integrable Novikov equation
- The Cauchy problem for a two-component Novikov equation in the critical Besov space
- On bi-Hamiltonian structure of two-component Novikov equation
- Well-posedness and persistence properties for the Novikov equation
- Non-uniform dependence on initial data for the CH equation on the line.
- Double extended cubic peakon equation
- Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- A note on well-posedness for Camassa-Holm equation.
- Special issue on the occasion of the 50th volume
- A few remarks on the Camassa-Holm equation.
- On the Cauchy problem for the two-component Novikov equation
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space
- Well-posedness and analytic solutions of the two-component Euler-Poincaré system
- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- The Cauchy problem for a generalized two-component short pulse system with high-order nonlinearities
- A note on the solution map for the periodic Camassa–Holm equation
- Non-uniform dependence on initial data for the two-component Novikov system
- Fourier Analysis and Nonlinear Partial Differential Equations
- An extension of integrable peakon equations with cubic nonlinearity
- Integrable peakon equations with cubic nonlinearity
- Non-Uniform Dependence for the Periodic CH Equation
- Generalizations of the Camassa–Holm equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- A note on the Cauchy problem for the periodic two-component Novikov system
- Persistence properties and wave‐breaking criteria for the Geng‐Xue system
- Persistence properties for the two-component Novikov equation in weighted Lp spaces
- Hölder continuity of the solution map for the Novikov equation
- The Cauchy problem for the Novikov equation
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