Interaction of oscillatory packets of water waves

DOI10.3934/proc.2015.0267zbMath1333.76022OpenAlexW2320525433MaRDI QIDQ260768

Martina Chirilus-Bruckner, Guido Schneider

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0267

zbMATH Keywords

NLS approximationwave packet interaction

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35)

Cites Work

• A rigorous justification of the modulation approximation to the 2D full water wave problem
• Detection of standing pulses in periodic media by pulse interaction
• Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves
• Interaction of modulated pulses in nonlinear oscillator chains
• LINEAR SUPERPOSITION IN NONLINEAR WAVE DYNAMICS
• On the validity of mean-field amplitude equations for counterpropagating wavetrains
• On the interaction of NLS‐described modulating pulses with different carrier waves

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