Dispersive waves and caustics

The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear, non-dispersive wave equations at turning points. The formalism is adapted to include those equations which model dispersive waves.

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Main Author: Arthur D. Gorman
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000084
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author Arthur D. Gorman
author_facet Arthur D. Gorman
author_sort Arthur D. Gorman
collection DOAJ
description The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear, non-dispersive wave equations at turning points. The formalism is adapted to include those equations which model dispersive waves.
format Article
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institution DOAJ
issn 0161-1712
1687-0425
language English
publishDate 1985-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-ed57a37a19f3473f812bd81b3522ef032025-08-20T03:21:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-01819310710.1155/S0161171285000084Dispersive waves and causticsArthur D. Gorman0Department of Engineering Science, Lafayette College, Easton, Pennsylvania 18042, USAThe Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear, non-dispersive wave equations at turning points. The formalism is adapted to include those equations which model dispersive waves.http://dx.doi.org/10.1155/S0161171285000084dispersive wavesLagrang manifoldturning pointsWKB.
spellingShingle Arthur D. Gorman
Dispersive waves and caustics
International Journal of Mathematics and Mathematical Sciences
dispersive waves
Lagrang manifold
turning points
WKB.
title Dispersive waves and caustics
title_full Dispersive waves and caustics
title_fullStr Dispersive waves and caustics
title_full_unstemmed Dispersive waves and caustics
title_short Dispersive waves and caustics
title_sort dispersive waves and caustics
topic dispersive waves
Lagrang manifold
turning points
WKB.
url http://dx.doi.org/10.1155/S0161171285000084
work_keys_str_mv AT arthurdgorman dispersivewavesandcaustics