Space-time caustics
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of linear differential equations modelling wave propagation in spatially inhomogeneous media at caustic (turning) points. Here the formalism is adapted to determine a class of asymptotic solutions at ca...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000662 |
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| _version_ | 1832555525498208256 |
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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 differential equations modelling wave propagation in spatially inhomogeneous media at caustic (turning) points. Here the formalism is adapted to determine a class of asymptotic solutions at caustic points for those equations modelling wave propagation in media with both spatial and temporal inhomogeneities. The analogous Schrodinger equation is also considered. |
| format | Article |
| id | doaj-art-3ee0d9e905064faaa76881ffcc3b8460 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3ee0d9e905064faaa76881ffcc3b84602025-02-03T05:48:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019353154010.1155/S0161171286000662Space-time 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 differential equations modelling wave propagation in spatially inhomogeneous media at caustic (turning) points. Here the formalism is adapted to determine a class of asymptotic solutions at caustic points for those equations modelling wave propagation in media with both spatial and temporal inhomogeneities. The analogous Schrodinger equation is also considered.http://dx.doi.org/10.1155/S0161171286000662wave propagationLagrange manifoldSchodinger equationturning points. |
| spellingShingle | Arthur D. Gorman Space-time caustics International Journal of Mathematics and Mathematical Sciences wave propagation Lagrange manifold Schodinger equation turning points. |
| title | Space-time caustics |
| title_full | Space-time caustics |
| title_fullStr | Space-time caustics |
| title_full_unstemmed | Space-time caustics |
| title_short | Space-time caustics |
| title_sort | space time caustics |
| topic | wave propagation Lagrange manifold Schodinger equation turning points. |
| url | http://dx.doi.org/10.1155/S0161171286000662 |
| work_keys_str_mv | AT arthurdgorman spacetimecaustics |