On frequency-amplitude dependences for surface and internal standing waves

DOI10.1016/j.cam.2006.01.002zbMath1203.76029OpenAlexW1991873422MaRDI QIDQ869484

Carlos Lizárraga Celaya, Inna K. Shingareva

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.002

zbMATH Keywords

nonlinear wavesperturbation methodsapproximate analytical solutioncomputer algebra methodsinternal standing wavessurface standing waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55)

Related Items (5)

Three-dimensional periodic interfacial gravity waves: analytical and numerical results ⋮ Lagrangian motion of fluid particles in gravity-capillary standing waves ⋮ Higher-order asymptotic solutions in fluids of various configurations ⋮ Conditions of Wave Propagation in a Two-Layer Liquid with Free Surface ⋮ A Lagrangian asymptotic solution for finite-amplitude standing waves

Cites Work

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• Gravity waves on the free surface of an incompressible perfect fluid of finite depth
• Standing gravity waves of large amplitude in deep water
• Matrix approach to Lagrangian fluid dynamics
• Higher Order Calculation of Finite Periodic Standing Gravity Waves by Means of the Computer
• Equations of fluid dynamics—free surface problems
• The semi-analytic theory of standing waves
• Frontal geostrophic adjustment, slow manifold and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 1. Theory
• Symmetries of Euler Equations in Lagrangian Coordinates
• Standing surface waves of finite amplitude

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