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Compatible Poisson Structures of Toda Type Discrete Hierarchy

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 نشر من قبل Klaus Bering
 تاريخ النشر 2004
  مجال البحث فيزياء
والبحث باللغة English
 تأليف H. Aratyn




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An algebra isomorphism between algebras of matrices and difference operators is used to investigate the discrete integrable hierarchy. We find local and non-local families of R-matrix solutions to the modified Yang-Baxter equation. The three R-theoretic Poisson structures and the Suris quadratic bracket are derived. The resulting family of bi-Poisson structures include a seminal discrete bi-Poisson structure of Kupershmidt at a special value.



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