Amplitude equations at the critical points of unstable dispersive physical systems

DOI10.1098/rspa.1981.0121zbMath0476.35054OpenAlexW2089343420MaRDI QIDQ3933356

John D. Gibbon, Mark J. McGuinness

Publication date: 1981

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1981.0121

zbMATH Keywords

dissipationnonlinear equationsamplitude equationssecularitiescubic resonancesdevelopment of wavetrain solutionsdispersive instabilities

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcation and buckling (74G60) Wave scattering in solid mechanics (74J20) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

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