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Dynamics and interpretation of some integrable systems via multiple orthogonal ...
Barrios Rolanía, D.; Branquinho, A.; Moreno, A. FoulquiéHigh-order non symmetric difference operators with complex coefficients are considered. The correspondence between dynamics of the coefficients of the operator defined by a Lax pair and its resolvent function is established. The method of investigation is based on the analysis of the moments for the operator. The solution of a discrete dynamical system is studied. We give explicit expressions for the resolvent ...
Complex high order Toda and Volterra lattices
Barrios Rolanía, D.; Branquinho, A.Given a solution of a high order Toda lattice we construct a one parameter family of new solutions. In our method, we use a set of B¨acklund transformations in such a way that each new generalized Toda solution is related to a generalized Volterra solution. ; Dirección General de Investigación, Ministerio de Educación y Ciencia, MTM2006-13000-C03-02; Universidad Politécnica de Madrid; Comunidad Autónoma de M...
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