Linear stability of periodic standing waves of the KGZ system

DOI10.3906/mat-2101-132zbMath1496.35056OpenAlexW4241658058MaRDI QIDQ5097734

Fatih Hunutlu, Sevdzhan Ahmedov Hakkaev

Publication date: 1 September 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2101-132

zbMATH Keywords

linear stabilityperiodic wavesstanding wavesKlein-Gordon-Zakharov system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order hyperbolic systems (35L51) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation
• Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case
• Linear stability analysis for travelling waves of second order in time PDE's
• Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations
• An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type
• Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein–Gordon–Zakharov system

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