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Vindication of mode-coupled descriptions of multiple-scale water wave fields

Published online by Cambridge University Press:  21 April 2006

Keith A. Brueckner
Affiliation:
Division of Applied Nonlinear Problems, La Jolla Institute, 10280 N. Torrey Pines Road, Suite 260, La Jolla, CA 92037, USA
Bruce J. West
Affiliation:
Division of Applied Nonlinear Problems, La Jolla Institute, 10280 N. Torrey Pines Road, Suite 260, La Jolla, CA 92037, USA Department of Physics, University of California, La Jolla CA 92093, USA.

Abstract

Herein we show that the modal description of deep-water waves on the sea surface Watson & West 1975) is independent of any reference surface around which expansions of the velocity potential and the surface velocity are done. We demonstrate by direct construction that the interaction between long and short waves does not lead to divergent terms in the equations of motion when this formalism is used.

Type
Research Article
Copyright
© 1988 Cambridge University Press

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