On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law
DOI10.1142/s0129167x23500696zbMath1525.35039OpenAlexW4384821889MaRDI QIDQ6072358
Miaomiao Chen, Gezi Chong, Haiquan Wang
Publication date: 13 October 2023
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x23500696
Sobolev-Gevrey spacestwo-component Novikov-type systemdecay exponentially and algebraicallylocal regularity and analyticity
Asymptotic behavior of solutions to PDEs (35B40) 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)
Cites Work
- Unnamed Item
- 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.
- Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
- On the Cauchy problem and peakons of a two-component Novikov system
- 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.
- 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
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- A note on the Cauchy problem for the two-component Novikov system
- The two-component Novikov-type systems with peaked solutions and \(H^1\)-conservation law
- On the Cauchy problem for the new integrable two-component Novikov equation
- On the Cauchy problem of a new integrable two-component Novikov equation
- Non-uniform dependence for the Novikov equation in Besov spaces
- The global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operators
- Global weak solutions to the Novikov equation
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- A new asymptotic behavior of solutions to the Camassa-Holm equation
- 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
- Gevrey regularity and analyticity for Camassa-Holm type systems
- Well-posedness and global existence for the Novikov equation
- Local well-posedness and global existence for a multi-component Novikov equation
- Persistence properties and wave‐breaking criteria for the Geng‐Xue system
- Bi-Hamiltonian structure of multi-component Novikov equation
- Hölder continuity of the solution map for the Novikov equation
- Two-component generalizations of the Novikov equation
- The Cauchy problem for the Novikov equation
This page was built for publication: On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law
