On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability

DOI10.1093/IMAMAT/50.1.13zbMath0769.76009OpenAlexW2055215709MaRDI QIDQ5285602

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1093/imamat/50.1.13

zbMATH Keywords

small-amplitude waves complex potential amplitudes interaction of the harmonics resonant capillary-gravity wavetrain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Hydrodynamic stability (76E99)

Related Items (5)

Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves ⋮ Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ Evolution equations which model the ripples arising from an adjacent mode interaction ⋮ A singularity in resonant interfacial fluid flow leading to role reversal in the space time continuum of the evolution equations ⋮ Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

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