Loss of regularity in the ${K(m, n)}$ equations
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Publication:4569237
DOI10.1088/1361-6544/aab58bzbMath1391.35345arXiv1709.03322OpenAlexW3124836830MaRDI QIDQ4569237
Alon Zilburg, Philip S. Rosenau
Publication date: 28 June 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03322
Related Items (5)
Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion ⋮ Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations ⋮ Compactons ⋮ Stability and interaction of compactons in the sublinear KdV equation ⋮ Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity
Cites Work
- Local discontinuous Galerkin methods for nonlinear dispersive equations
- On a model equation of traveling and stationary compactons
- On Hamiltonian formulations of the \(\mathcal{C}_1(m, a, b)\) equations
- On quintic equations with a linear window
- A finite difference scheme for the \(K(2,2)\) compacton equation
- Compactons in a class of nonlinearly quintic equations
- On singular and sincerely singular compact patterns
- Ill-posedness of degenerate dispersive equations
- On solitary patterns in Lotka–Volterra chains
- Preservation of support and positivity for solutions of degenerate evolution equations
- Compactons: Solitons with finite wavelength
- Dispersion vs. anti-diffusion: Well-posedness in variable coefficient and quasilinear equations of KdV-type
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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