Elementary Darboux transformations and factorization

Details Elementary Darboux transformations and factorization Elementary Darboux transformations and factorization

2005-02-03

arxiv.org/abs/nlin/0502006v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

10.1007/s11232-005-0128-4

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.

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