Discrete canonical system and non-Abelian Toda lattice: Bäcklund-Darboux transformation and Weyl functions
نویسنده
چکیده
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.
منابع مشابه
Discrete canonical system and non-Abelian Toda lattice: Bäcklund-Darboux transformation, Weyl functions, and explicit solutions
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 solut...
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تاریخ انتشار 2003