Reducibility of zero curvature representations with application to recursion operators
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2003
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| _version_ | 1866917618431033344 |
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| author | Marvan, Michal |
| author_facet | Marvan, Michal |
| contents | We present a criterion of reducibility of a zero curvature representation to a solvable subalgebra, hence to a chain of conservation laws. Namely, we show that reducibility is equivalent to the existence of a section of the generalized Riccati covering. Results are applied to conversion between Guthrie's and Olver's form of recursion operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_nlin_0306006 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Reducibility of zero curvature representations with application to recursion operators Marvan, Michal Exactly Solvable and Integrable Systems We present a criterion of reducibility of a zero curvature representation to a solvable subalgebra, hence to a chain of conservation laws. Namely, we show that reducibility is equivalent to the existence of a section of the generalized Riccati covering. Results are applied to conversion between Guthrie's and Olver's form of recursion operators. |
| title | Reducibility of zero curvature representations with application to recursion operators |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/nlin/0306006 |