Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein–Gordon–Zakharov system

DOI10.1017/S0308210512000741zbMath1293.35243arXiv1202.2133OpenAlexW2025513692MaRDI QIDQ5168168

Milena Stanislavova, Sevdzhan A. Hakkaev, Atanas G. Stefanov

Publication date: 3 July 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2133

zbMATH Keywords

travelling waves linear stability Boussinesq equation Klein-Gordon-Zakharov system

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Statistical mechanics of plasmas (82D10) Traveling wave solutions (35C07) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry ⋮ On the Stability of the Periodic Waves for the Benney System ⋮ Linear stability of periodic standing waves of the KGZ system ⋮ On the linear stability of simple and semi‐simple periodic waves for a system of cubic Klein–Gordon equations ⋮ Spectral stability of periodic waves for the Drinfeld-Sokolov-Wilson equation ⋮ An instability index theory for quadratic pencils and applications ⋮ Existence and stability of traveling waves for a class of nonlocal nonlinear equations ⋮ On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations ⋮ NLS and KdV Hamiltonian linearized operators: a priori bounds on the spectrum and optimal \(L^2\) estimates for the semigroups

This page was built for publication: Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein–Gordon–Zakharov system