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The Hamiltonian Structure of the Nonabelian Toda Hierarchy

Authors
  • Bruschi, M.
  • Ragnisco, O.
Publication Date
Jun 01, 1982
Identifiers
DOI: 10.1063/1.525876
OAI: oai:inspirehep.net:182633
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

We show that a subset of the whole class of nonlinear differential‐difference equations, associated with the discrete analog of the matrix Schrödinger operator, is endowed with a Hamiltonian structure and exhibits an infinite number of integrals of motion in involution. We also establish the relation between these integrals of motion and the transmission coefficient of the underlying linear problem, and show that such a relation implies that, for the whole class previously introduced, there exists an infinite number of conserved quantities.

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