Elementary Darboux Transformations and Factorization
Abstract
A general theorem on factorization of matrices with polynomial entries is proven and it is used to reduce polynomial Darboux matrices to linear ones. Some new examples of linear Darboux matrices are discussed.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- July 2005
- DOI:
- 10.1007/s11232-005-0128-4
- arXiv:
- arXiv:nlin/0502006
- Bibcode:
- 2005TMP...144.1004M
- Keywords:
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- Exactly Solvable and Integrable Systems
- E-Print:
- 10 pages