Discrete canonical system and non-Abelian Toda lattice: Bäcklund-Darboux transformation, Weyl functions, and explicit solutions
نویسنده
چکیده
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, insertion of the eigenvalues, and construction of the bound states are obtained. A wide class of the explicit solutions is given. An application to the semi-infinite block Jacobi matrices is treated.
منابع مشابه
Discrete canonical system and non-Abelian Toda lattice: Bäcklund-Darboux transformation and Weyl functions
A version of the iterated Bäcklund-Darboux transformation, where Darboux matrix takes a form of the tranfer matrix function from the system theory, is introduced for the discrete canonical system and nonAbelian Toda lattice. Solutions are constructed and several spectral results are obtained.
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