Blow-up phenomena and persistence properties for an integrable two-component peakon system
From MaRDI portal
Publication:1785939
DOI10.1016/j.jde.2017.06.030zbMath1400.35040OpenAlexW2735653427MaRDI QIDQ1785939
Publication date: 2 October 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.06.030
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Blow-up in context of PDEs (35B44)
Related Items
Qualitative analysis for a two-component peakon system with cubic nonlinearity ⋮ Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions
Cites Work
- Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
- Integrable peakon systems with weak kink and kink-peakon interactional solutions
- On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
- Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions
- Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation with cubic nonlinearity
- Analyticity of periodic traveling free surface water waves with vorticity
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- Global conservative solutions of the Camassa-Holm equation
- Persistence properties of the solutions to a generalized two-component Camassa-Holm shallow water system
- The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Persistence properties for a family of nonlinear partial differential equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- A note on well-posedness for Camassa-Holm equation.
- A few remarks on the Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- Wave-breaking and peakons for a modified Camassa-Holm equation
- Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- On the uniqueness in critical spaces for compressible Navier-Stokes equations
- On the scattering problem for the Camassa-Holm equation
- A Synthetical Two-Component Model with Peakon Solutions
- Finite propagation speed for the Camassa–Holm equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- A new asymptotic behavior of solutions to the Camassa-Holm equation
- On the Blow-Up Scenario for the Generalized Camassa–Holm Equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Generalizations of the Camassa–Holm equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- A new integrable two-component system with cubic nonlinearity
- Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
- WELL-POSEDNESS AND ANALYTICITY FOR AN INTEGRABLE TWO-COMPONENT SYSTEM WITH CUBIC NONLINEARITY
- The Cauchy problem for an integrable two-component model with peakon solutions
- Particle trajectories in solitary water waves
- Compactly Supported Solutions of the Camassa-Holm Equation
- The Cauchy problem for a generalized Camassa-Holm equation
- On the Cauchy problem for the generalized Camassa-Holm equation
- On the Cauchy problem for a generalized Camassa-Holm equation