Concepedia

An integral equation for unsteady surface waves and a comment on the Boussinesq equation

J. G. B. Byatt‐Smith

Journal of Fluid Mechanics · 1971 · 129 citations · 9 references

DOI

Concepts

Abstract

An integral equation for unsteady inviscid surface waves has been obtained. Existing known approximations are all derived from the one equation. The Boussinesq equation is obtained and criticized.

References

9

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Variational methods and applications to water waves

G. B. Whitham · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1967 · 646 citations

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A general approach to linear and non-linear dispersive waves using a Lagrangian

G. B. Whitham · Journal of Fluid Mechanics · 1965 · 646 citations

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