English

Elementary Darboux transformations and factorization

Exactly Solvable and Integrable Systems 2009-11-11 v1

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.

Keywords

Cite

@article{arxiv.nlin/0502006,
  title  = {Elementary Darboux transformations and factorization},
  author = {F. Musso and A. Shabat},
  journal= {arXiv preprint arXiv:nlin/0502006},
  year   = {2009}
}

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10 pages