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/s1123200501284
 arXiv:
 arXiv:nlin/0502006
 Bibcode:
 2005TMP...144.1004M
 Keywords:

 Exactly Solvable and Integrable Systems
 EPrint:
 10 pages