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Title: On the full Kostant-Toda system and the discrete Korteweg-de Vries equations
Author: Barrios Rolanía, Dolores
Branquinho, Amilcar
Foulquie Moreno, Ana
Keywords: Operator theory
Orthogonal polynomials
Differential equations
Recurrence relations
Issue Date: May-2013
Publisher: Elsevier
Abstract: The relation between the solutions of the full Kostant–Toda lattice and the discrete Korteweg–de Vries equation is analyzed. A method for constructing solutions of these systems is given. As a consequence of the matricial interpretation of this method, the transform of Darboux is extended for general Hessenberg banded matrices.
Peer review: yes
DOI: 10.1016/j.jmaa.2012.12.050
ISSN: 0022-247X
Appears in Collections:CIDMA - Artigos

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