Symmetry relations and decomposition for the mild-slope equation
type: Item
instance of: scholarly article
title: Symmetry relations and decomposition for the mild-slope equation
zbMATH Open document ID: 0823.76006
DOI: 10.1007/BF00051739
author: P. G. Chamberlain
published in: Journal of Engineering Mathematics
publication date: 1995-06-13T00:00:00Z
review text: The reflection and transmission coefficients arising from the scattering of linear water waves by a one-dimensional topography are known to possess certain symmetry properties. In this paper it is shown that the same relations hold in the mild-slope approximation to the full linear theory. These relations are used in the development of a decomposition method where solutions for relatively simple depth profiles may be combined to give solutions for more complicated ones. The use of the decomposition method provides explicit error bounds in cases where they were previously unavailable.
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 763509
zbMATH Keywords: equally spaced humps
zbMATH Keywords: Kirby's extended mild-slope equation
zbMATH Keywords: ripple bed
zbMATH Keywords: reflection and transmission coefficients
zbMATH Keywords: scattering
zbMATH Keywords: explicit error bounds
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 763509