Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations

DOI10.1137/21M1458776zbMath1496.35057arXiv2105.13196OpenAlexW3164144468MaRDI QIDQ5101321

Dmitry E. Pelinovsky, Stéphane Lafortune

Publication date: 30 August 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13196

zbMATH Keywords

traveling wave solutionsnonlinear waveCamassa-Holm equationspectral stabilitypeakon

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (4)

The stability of the b-family of peakon equations ⋮ Superharmonic instability of stokes waves ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation

Cites Work

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