On the full Kostant-Toda system and the discrete Korteweg-de Vries equations

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 genera...

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Detalhes bibliográficos
Autor principal: Barrios Rolanía, Dolores (author)
Outros Autores: Branquinho, Amilcar (author), Foulquie Moreno, Ana (author)
Formato: article
Idioma:eng
Publicado em: 2015
Assuntos:
Texto completo:http://hdl.handle.net/10773/13456
País:Portugal
Oai:oai:ria.ua.pt:10773/13456
Descrição
Resumo: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.