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Exact edge wave solutions for some generalised exponential shelf topographies

Published online by Cambridge University Press:  17 February 2009

J. P. Louis  and
D. J. Clarke
J. P. Louis
Affiliation:
School of Applied Science Riverina-Murray Institute of Higher Education. P. O. Box 588, Wagga Wagga, N. S. W. 2650.
D. J. Clarke
Affiliation:
Department of Mathematics, The University of Wollongong, Wollongong, N. S. W. 2500.
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Abstract

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Exact wave-height solutions are presented for trapped waves over two new three-parameter depth topographies. Dispersive properties are calculated for both a semi-infinite and a truncated convex exponential profile, as well as for a semi-infinite concave profile. The analysis in all three cases is general in that both horizontal divergence and rotational effects are included. These solutions may be used for either high-frequency edge wave or low-frequency shelf wave studies by taking appropriate limits (f → 0 for edge wave and ε = f2L2/gH ≪ 1 for shelf waves).

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 3 , January 1986 , pp. 316 - 326
Copyright
Copyright © Australian Mathematical Society 1986

References

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