Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean
The wave packet method, one form of the WKB technique, recently has been employed to investigate the evolution of long planetary wave packets in relation to the complex climate variability in the world oceans. However, such a method becomes invalid near the caustics. Here, the Lagrange manifold form...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005002 |
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| _version_ | 1832566955098243072 |
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| author | Arthur D. Gorman Huijun Yang |
| author_facet | Arthur D. Gorman Huijun Yang |
| author_sort | Arthur D. Gorman |
| collection | DOAJ |
| description | The wave packet method, one form of the WKB technique, recently has
been employed to investigate the evolution of long planetary wave
packets in relation to the complex climate variability in the world
oceans. However, such a method becomes invalid near the caustics.
Here, the Lagrange manifold formalism is used to extend this
analysis to include the caustic regions. We conclude that even
though the wave packet method fails near the caustics, the
equations derived from this method away from caustics are identical
to ones from the Lagrange manifold formalism near caustics |
| format | Article |
| id | doaj-art-701fd08086054f9fafdea55042a0c8e7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-701fd08086054f9fafdea55042a0c8e72025-02-03T01:02:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251637210.1155/S0161171201005002Caustic consideration of long planetary wave packet analysis in the continuously stratified oceanArthur D. Gorman0Huijun Yang1Department of Mathematics, Lafayette College, Easton 18042, PA, USACollege of Marine Science, University of South Florida, St. Petersburg 33701, FL, USAThe wave packet method, one form of the WKB technique, recently has been employed to investigate the evolution of long planetary wave packets in relation to the complex climate variability in the world oceans. However, such a method becomes invalid near the caustics. Here, the Lagrange manifold formalism is used to extend this analysis to include the caustic regions. We conclude that even though the wave packet method fails near the caustics, the equations derived from this method away from caustics are identical to ones from the Lagrange manifold formalism near causticshttp://dx.doi.org/10.1155/S0161171201005002 |
| spellingShingle | Arthur D. Gorman Huijun Yang Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean International Journal of Mathematics and Mathematical Sciences |
| title | Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| title_full | Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| title_fullStr | Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| title_full_unstemmed | Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| title_short | Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| title_sort | caustic consideration of long planetary wave packet analysis in the continuously stratified ocean |
| url | http://dx.doi.org/10.1155/S0161171201005002 |
| work_keys_str_mv | AT arthurdgorman causticconsiderationoflongplanetarywavepacketanalysisinthecontinuouslystratifiedocean AT huijunyang causticconsiderationoflongplanetarywavepacketanalysisinthecontinuouslystratifiedocean |