Equilibrium states with finite amplitudes at exactly and nearly class-I Bragg resonances

DOI10.1155/2021/9986114zbMath1477.76020OpenAlexW3157155043MaRDI QIDQ2036115

Dali Xu, Hong-Sheng Zhang, Jing-Yu Zhang

Publication date: 28 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9986114

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Equilibrium states of class-I Bragg resonant wave system
• Resonant reflection of surface water waves by periodic sandbars
• A general wave equation for waves over rippled beds
• Note on Bragg scattering of water waves by parallel bars on the seabed
• On generalized Bragg scattering of surface waves by bottom ripples
• On the steady-state nearly resonant waves
• Finite amplitude steady-state wave groups with multiple near resonances in deep water
• On the strength of the weakly nonlinear theory for surface gravity waves
• Shore protection by oblique seabed bars
• Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth