On the spectral problem \(\mathcal{L}u=\lambda u'\) and applications

DOI10.1007/s00220-015-2542-2zbMath1427.47010OpenAlexW2266092830MaRDI QIDQ282573

Milena Stanislavova, Atanas G. Stefanov

Publication date: 12 May 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-015-2542-2

zbMATH Keywords

travelling wavespeakon solutionsspectral stabilityOstrovsky equationBullough-Dodd-Tzitzeica-type modelsexistence of travelling wave solutionsgeneralized short pulse equationinstability indexKapitula-Kevrekidis-Sandstede index theorypeakons

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Eigenvalue problems for linear operators (47A75) Applications of operator theory to differential and integral equations (47N20) Traveling wave solutions (35C07)

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Spectral stability of periodic waves in the generalized reduced Ostrovsky equation ⋮ On the Hamiltonian–Krein index for a non-self-adjoint spectral problem ⋮ 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 ⋮ Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs

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