A Perturbation Analysis of an Interaction between Long and Short Surface Waves

DOI10.1002/sapm1994922159zbMath0813.76015OpenAlexW2327103897MaRDI QIDQ4297193

Arthur F. Messiter, Stephen L. Woodruff

Publication date: 7 June 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/113686

zbMATH Keywords

MATHEMATICAmultiple-scale methodcapillary-blockage problemgeneration-function approachsmall-amplitude packetsmall-scale expansion

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (4)

Modulation of three resonating gravity–capillary waves by a long gravity wave ⋮ Comment on “A Perturbation Analysis of an Interaction between Long and Short Surface Waves” by Woodruff and Messiter ⋮ Asymptotic dynamics of monochromatic short surface wind waves ⋮ Interaction between a Stokes wave packet and a solitary wave

Uses Software

• Mathematica

Cites Work

• Changes in the form of short gravity waves on long waves and tidal currents
• Evolution of weakly nonlinear short waves riding on long gravity waves
• The blockage of gravity and capillary waves by longer waves and currents
• An Alternative Approach to Nonlinear Instabilities in Hydrodynamics
• The modulation of short gravity waves by long waves or currents
• The energy and action of small waves riding on large waves
• The dispersion of short wavelets in the presence of a dominant long wave
• Evolution of a short surface wave on a very long surface wave of finite amplitude
• Significant Interactions Between Small and Large Scale Surface Waves
• The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations
• The propagation of short surface waves on longer gravity waves
• On three-dimensional packets of surface waves
• Wave Instabilities

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