On the stability of a wavetrain caused by interacting wave modes

DOI10.1216/RMJM/1181072285zbMath0829.76010OpenAlexW2122135814MaRDI QIDQ1898315

Mark C. W. Jones

Publication date: 17 September 1995

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072285

zbMATH Keywords

regions of instabilityWilton rippleslong wave perturbationslongitudinal and transverse perturbations

Mathematics Subject Classification ID

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

Related Items (2)

On 1:2 resonant waves which arise between two stratified fluids of finite vertical extent in the presence of mean flow effects ⋮ Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

Cites Work

• Nonlinear stability of resonant capillary-gravity waves
• Symmetry and the bifurcation of capillary-gravity waves
• The bifurcation and secondary bifurcation of capillary-gravity waves
• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• On two-dimensional packets of capillary-gravity waves
• On three-dimensional packets of surface waves
• The disintegration of wave trains on deep water Part 1. Theory
• Finite amplitude surface waves in a liquid layer
• Second-harmonic resonance in the interaction of an air stream with capillary–gravity waves

This page was built for publication: On the stability of a wavetrain caused by interacting wave modes