Spectral stability of smooth solitary waves for the Degasperis-Procesi equation

DOI10.1016/j.matpur.2020.08.003zbMath1448.35377arXiv1911.06885OpenAlexW3081242206MaRDI QIDQ2201789

Qiliang Wu, Yue Liu, Ji Li

Publication date: 17 September 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06885

zbMATH Keywords

stabilitysolitary wavesspectrumCamassa-Holm equationDegasperis-Procesi equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) Solitary waves for incompressible inviscid fluids (76B25) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Euler equations (35Q31)

Related Items

Stability of solitary waves for the modified Camassa-Holm equation ⋮ Orbital stability of smooth solitary waves for the Degasperis-Procesi equation ⋮ Orbital stability of the sum of smooth solitons in the Degasperis-Procesi equation ⋮ Spectral Instability of Peakons in the $b$-Family of the Camassa--Holm Equations ⋮ Traveling pulses of coupled Fitzhugh-Nagumo equations with doubly-diffusive effect ⋮ Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ A view of the peakon world through the lens of approximation theory ⋮ Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation

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