Isospectral integrability analysis of dynamical systems on discrete manifolds

It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability of the discrete nonlinear Schrödinger, Ragnis...

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Bibliographic Details
Main Authors: Denis Blackmore, Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2012-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol32/1/art/opuscula_math_3204.pdf