Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation
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Publication:2083725
DOI10.1016/j.physd.2022.133477zbMath1506.35036arXiv2201.08094OpenAlexW4289316046WikidataQ113866725 ScholiaQ113866725MaRDI QIDQ2083725
Dmitry E. Pelinovsky, Stéphane Lafortune
Publication date: 11 October 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.08094
Related Items (3)
The stability of the b-family of peakon equations ⋮ An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations
Cites Work
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- Ill-posedness for the \(b\)-family of equations
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Stability theory of solitary waves in the presence of symmetry. I
- Wave breaking for nonlinear nonlocal shallow water equations
- Periodic cusp wave solutions and single-solitons for the \(b\)-equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Stability of the Camassa-Holm solitons
- \(W^{1,\infty}\) instability of \(H^1\)-stable peakons in the Novikov equation
- Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
- Instability of \(H^1\)-stable peakons in the Camassa-Holm equation
- Stability of stationary solutions for nonintegrable peakon equations
- On solutions to the Holm–Staleyb-family of equations
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Stability of peakons for the Degasperis-Procesi equation
- On the cauchy problem for a family of quasilinear hyperbolic equations
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Prolongation algebras and Hamiltonian operators for peakon equations
- Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
- Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations
- Water waves and integrability
- A Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith)
- Orbital stability of solitary waves for a shallow water equation
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