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Nonlinear edge waves and shallow-water theory

Published online by Cambridge University Press:  29 March 2006

A. A. Minzoni
A. A. Minzoni
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena
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Abstract

Nonlinear effects are considered for shallow-water edge waves on beaches with a general depth distribution. The case of uniform depth away from the shoreline is considered in detail. It is shown that the results obtained are in qualitative agreement with those obtained by Whitham (1976) using the full nonlinear theory for a beach of constant slope.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 2 , 23 March 1976 , pp. 369 - 374
Copyright
© 1976 Cambridge University Press

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References

Titchmarsh, E. C. 1962 Eigenfunction Expansions Associated with Second Order Differential Equations, part 1, 2nd edn. Oxford University Press.
Ursell, F. 1952 Proc. Roy. Soc A 214, 79–97.
Whitham, G. B. 1976 J. Fluid Mech. 74, 353