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Open Accesshttps://doi.org/10.1016/j.jmaa.2012.12.050
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Cite Publication Date: Dec 29, 2012 | |
 Citations: 15 |  License type: publisher-specific-oa |
Affiliation: Universidad Politécnica de Madrid, University of Coimbra
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.
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