The instability of Wilton ripples

DOI10.1016/j.wavemoti.2016.06.004zbMath1467.76018arXiv1512.01562OpenAlexW2269542765MaRDI QIDQ2186187

Jon Wilkening, Olga Trichtchenko, Bernard Deconinck

Publication date: 9 June 2020

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

Full work available at URL: https://arxiv.org/abs/1512.01562

zbMATH Keywords

Wilton rippleshigh-frequency instabilitiesresonant gravity-capillary waves

Mathematics Subject Classification ID

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

Related Items (14)

Stability of Periodic Traveling Wave Solutions to the Kawahara Equation ⋮ Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves ⋮ Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values ⋮ Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves ⋮ On the bifurcation diagram of the capillary-gravity Whitham equation ⋮ A Method for Identifying Stability Regimes Using Roots of a Reduced-Order Polynomial ⋮ Periodic traveling interfacial hydroelastic waves with or without mass ⋮ High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach ⋮ Spatially quasi-periodic water waves of infinite depth ⋮ Periodic travelling interfacial hydroelastic waves with or without mass II: Multiple bifurcations and ripples ⋮ Stability of periodic traveling flexural‐gravity waves in two dimensions ⋮ Harmonic stability of standing water waves ⋮ Wilton ripples in weakly nonlinear dispersive models of water waves: existence and analyticity of solution branches ⋮ Quasi-periodic travelling gravity–capillary waves

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