Orbital stability of periodic waves in the class of reduced Ostrovsky equations

DOI10.1016/j.jde.2016.05.026zbMath1355.35017arXiv1603.02961OpenAlexW2963232899MaRDI QIDQ2630905

Yanyan Li

Publication date: 25 July 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02961

zbMATH Keywords

conserved quantitiesFloquet-Bloch spectrumshort-pulse equationquadratic and cubic nonlinearitiessubharmonic perturbationslow-frequency internal waves

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)

Related Items (10)

Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators ⋮ Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation ⋮ Spectral stability of periodic waves in the generalized reduced Ostrovsky equation ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations ⋮ Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations ⋮ Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation ⋮ Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms ⋮ Instability of \(H^1\)-stable peakons in the Camassa-Holm equation ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation

Uses Software

• PSEUDO

Cites Work

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