Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems
A type of prolongation structure for several general systems is discussed. They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of , , and . Each will be considered in turn and the latter two systems represent la...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/504645 |
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| _version_ | 1832558642350522368 |
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| author | Paul Bracken |
| author_facet | Paul Bracken |
| author_sort | Paul Bracken |
| collection | DOAJ |
| description | A type of prolongation structure for several general systems is discussed. They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of , , and . Each will be considered in turn and the latter two systems represent larger cases. This geometric approach is applied to all of the three of these systems to obtain prolongation structures explicitly. In both cases, the prolongation structure is reduced to the situation of three smaller problems. |
| format | Article |
| id | doaj-art-2b1a29e119ee4a879875683e1e2dd3c9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2b1a29e119ee4a879875683e1e2dd3c92025-02-03T01:31:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/504645504645Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable SystemsPaul Bracken0Department of Mathematics, University of Texas, Edinburg, TX 78541-2999, USAA type of prolongation structure for several general systems is discussed. They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of , , and . Each will be considered in turn and the latter two systems represent larger cases. This geometric approach is applied to all of the three of these systems to obtain prolongation structures explicitly. In both cases, the prolongation structure is reduced to the situation of three smaller problems.http://dx.doi.org/10.1155/2013/504645 |
| spellingShingle | Paul Bracken Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems International Journal of Mathematics and Mathematical Sciences |
| title | Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems |
| title_full | Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems |
| title_fullStr | Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems |
| title_full_unstemmed | Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems |
| title_short | Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems |
| title_sort | geometric methods to investigate prolongation structures for differential systems with applications to integrable systems |
| url | http://dx.doi.org/10.1155/2013/504645 |
| work_keys_str_mv | AT paulbracken geometricmethodstoinvestigateprolongationstructuresfordifferentialsystemswithapplicationstointegrablesystems |