Deterministic and stochastic theory for a resonant triad

DOI10.1016/J.WAVEMOTI.2022.103087OpenAlexW4308558705MaRDI QIDQ2685060

Raphael Stuhlmeier, David Andrade

Publication date: 17 February 2023

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.103087

zbMATH Keywords

phase-lockingphase coherencewave-wave interactiontriad resonance

Mathematics Subject Classification ID

Partial differential equations (35-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• On the interaction of four water-waves
• Pulsation and precession of the resonant swinging spring
• Resonant interactions of capillary-gravity water waves
• On modifications of the Zakharov equation for surface gravity waves
• Power series for inverse Jacobian elliptic functions
• Exact solutions of non-conservative equations for three-wave and second-harmonic resonance
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• A generalized stability criterion for resonant triad interactions

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