A binary Darboux transformation for the Toda lattice
β Scribed by V. M. Babich; V. B. Matveev; M. A. Sail'
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 467 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
Toda lattice equation is represented in the form of the condition of compatibility of the system of linear equations corresponding to a non-Hermitian Lax representation. The Darboux invariance of this linear system is defined and proved in the text, and enables us to construct some new formulas for
## Abstract A version of the iterated BΓ€cklundβDarboux transformation, where Darboux matrix takes a form of the transfer matrix function from the system theory, is constructed for the discrete canonical system and nonβAbelian Toda lattice. Results on the transformations of the Weyl functions, inser