Pseudo-Canonical Systems with Rational Weyl Functions: Explicit Formulas and Applications

Discrete canonical system and non-Abelia

Discrete canonical system and non-Abelian Toda lattice: Bäcklund–Darboux transformation, Weyl functions, and explicit solutions

✍ A. L. Sakhnovich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 239 KB

## Abstract A version of the iterated Bäcklund–Darboux transformation, where Darboux matrix takes a form of the transfer matrix function from the system theory, is constructed for the discrete canonical system and non‐Abelian Toda lattice. Results on the transformations of the Weyl functions, inser