Instability of \(H^1\)-stable periodic peakons for the \(\mu\)-Camassa-Holm equation
From MaRDI portal
Publication:6195995
DOI10.1007/s10884-022-10165-yOpenAlexW4280605764WikidataQ114225732 ScholiaQ114225732MaRDI QIDQ6195995
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-022-10165-y
Cites Work
- Unnamed Item
- Global conservative solutions of the Camassa-Holm equation
- Periodic conservative solutions of the Camassa-Holm equation
- Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- On a completely integrable nonlinear hyperbolic variational equation
- On the Cauchy problem for the periodic Camassa-Holm equation
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- On the blow-up of solutions of a periodic shallow water equation
- Euler equations on homogeneous spaces and Virasoro orbits
- Stability of the \(\mu \)-Camassa-Holm peakons
- Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm 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
- \(W^{1,\infty}\) instability of \(H^1\)-stable peakons in the Novikov equation
- Instability of \(H^1\)-stable peakons in the Camassa-Holm equation
- Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation
- Dynamics of Director Fields
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation
- A Variational Approach to the Stability of Periodic Peakons
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
- Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations
- Conservative weak solutions of the periodic Cauchy problem for μHS equation
- Orbital stability of solitary waves for a shallow water equation
- Integrable evolution equations on spaces of tensor densities and their peakon solutions
- Analysis on the blow-up of solutions to a class of integrable peakon equations