Well-posedness and wave breaking of the degenerate Novikov equation
DOI10.1016/j.jde.2017.05.027zbMath1378.35084OpenAlexW2626826844MaRDI QIDQ2013910
Publication date: 10 August 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.05.027
singular solutionintegrable systembi-Hamiltonian structureperiodic settingscaling limit of the Novikov equation
Analyticity in context of PDEs (35A20) 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) Blow-up in context of PDEs (35B44)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity
- Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Wave breaking in the short-pulse equation
- On geodesic exponential maps of the Virasoro group
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- On the Cauchy problem for an integrable equation with peakon solutions
- On the blow-up of solutions of a periodic shallow water equation
- Propagation of ultra-short optical pulses in cubic nonlinear media
- 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
- 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
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Stability of multipeakons
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- The Hunter-Saxton equation describes the geodesic flow on a sphere
- Conservation laws and symmetries of Hunter–Saxton equation: revisited
- Fourier Analysis and Nonlinear Partial Differential Equations
- The Periodic Cauchy Problem for Novikov's Equation
- Inverse scattering solutions of the hunter-saxton equation
- The Hunter–Saxton equation: remarkable structures of symmetries and conserved densities
- Generalizations of the Camassa–Holm equation
- Dynamics of Director Fields
- Stability of peakons
- Transformations for the Camassa-Holm Equation, Its High-Frequency Limit and the Sinh-Gordon Equation
- An integrable shallow water equation with peaked solitons
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- The Short Pulse Equation Is Integrable
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- Well-posedness and global existence for the Novikov equation
- SOME NEW INTEGRABLE NONLINEAR EVOLUTION EQUATIONS AND THEIR INFINITELY MANY CONSERVATION LAWS
- On the blow-up of solutions to the integrable modified Camassa–Holm equation
- A completely integrable Hamiltonian system
- Orbital stability of solitary waves for a shallow water equation
- Integrable equations arising from motions of plane curves
- Analysis on the blow-up of solutions to a class of integrable peakon equations
This page was built for publication: Well-posedness and wave breaking of the degenerate Novikov equation