Stability of smooth periodic travelling waves in the Camassa–Holm equation
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Publication:6085641
DOI10.1111/sapm.12430arXiv2103.12183OpenAlexW3195250943MaRDI QIDQ6085641
Dmitry E. Pelinovsky, Renan H. Martins, Fábio M. Amorin Natali, Anna Geyer
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12183
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Traveling wave solutions (35C07)
Related Items
Standing waves on quantum graphs, Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation
Cites Work
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- Floquet's theorem and stability of periodic solitary waves
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
- Criteria to bound the number of critical periods
- Stability and instability of periodic travelling wave solutions for the critical Korteweg-de Vries and nonlinear Schrödinger equations
- The monotonicity of the period function for planar Hamiltonian vector fields
- Wave breaking for nonlinear nonlocal shallow water equations
- The Hamiltonian structure of the Camassa-Holm equation
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Perturbation theory for linear operators.
- The Cauchy problem for an integrable shallow-water equation
- Classical solutions of the periodic Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Algebraic and analytical tools for the study of the period function
- Instability of \(H^1\)-stable peakons in the Camassa-Holm equation
- On the wave length of smooth periodic traveling waves of the Camassa-Holm equation
- Spectral stability of periodic waves in the generalized reduced Ostrovsky equation
- Non-uniform continuity in \(H^1\) of the solution map of the CH equation
- Local-in-space criteria for blowup in shallow water and dispersive rod equations
- Traveling wave solutions of the Camassa-Holm equation
- Sufficient conditions for orbital stability of periodic traveling waves
- Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
- Stability for the periodic Camassa-Holm equation
- Low-Regularity Solutions of the Periodic Camassa–Holm Equation
- Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- The correspondence between KdV and Camassa-Holm
- A Variational Approach to the Stability of Periodic Peakons
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation
- Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
- Stability of periodic travelling shallow-water waves determined by Newton's equation
- Existence time for the Camassa-Holm equation and the critical Sobolev index
- Orbital stability of solitary waves for a shallow water equation
