Bäcklund transformations for the anti-self-dual Yang-Mills equations
Beginning from any given (local) solution of the GL(n,ℂ) anti-self-dual Yang-Mills (ASDYM) equations on Minkowski space, a simple technique for the generation of large classes of solutions (perhaps in some sense all) is given. The origin of this technique is described in terms of two versions of the...
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| Format: | Journal article |
| Language: | English |
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1988
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| _version_ | 1797100976531832832 |
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| author | Mason, L Chakravarty, S Newman, E |
| author_facet | Mason, L Chakravarty, S Newman, E |
| author_sort | Mason, L |
| collection | OXFORD |
| description | Beginning from any given (local) solution of the GL(n,ℂ) anti-self-dual Yang-Mills (ASDYM) equations on Minkowski space, a simple technique for the generation of large classes of solutions (perhaps in some sense all) is given. The origin of this technique is described in terms of two versions of the Ward construction. The resulting description of Bäcklund transformations is sufficiently simple that it is then possible to identify the group generated by the collection of all such Bäcklund transformations and the space on which it acts in terms of concrete functions. © 1988 American Institute of Physics. |
| first_indexed | 2024-03-07T05:45:19Z |
| format | Journal article |
| id | oxford-uuid:e7086fb8-1e64-4b10-bf00-f6f7d67151ad |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:45:19Z |
| publishDate | 1988 |
| record_format | dspace |
| spelling | oxford-uuid:e7086fb8-1e64-4b10-bf00-f6f7d67151ad2022-03-27T10:35:27ZBäcklund transformations for the anti-self-dual Yang-Mills equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e7086fb8-1e64-4b10-bf00-f6f7d67151adEnglishSymplectic Elements at Oxford1988Mason, LChakravarty, SNewman, EBeginning from any given (local) solution of the GL(n,ℂ) anti-self-dual Yang-Mills (ASDYM) equations on Minkowski space, a simple technique for the generation of large classes of solutions (perhaps in some sense all) is given. The origin of this technique is described in terms of two versions of the Ward construction. The resulting description of Bäcklund transformations is sufficiently simple that it is then possible to identify the group generated by the collection of all such Bäcklund transformations and the space on which it acts in terms of concrete functions. © 1988 American Institute of Physics. |
| spellingShingle | Mason, L Chakravarty, S Newman, E Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title | Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title_full | Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title_fullStr | Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title_full_unstemmed | Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title_short | Bäcklund transformations for the anti-self-dual Yang-Mills equations |
| title_sort | backlund transformations for the anti self dual yang mills equations |
| work_keys_str_mv | AT masonl backlundtransformationsfortheantiselfdualyangmillsequations AT chakravartys backlundtransformationsfortheantiselfdualyangmillsequations AT newmane backlundtransformationsfortheantiselfdualyangmillsequations |