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  Document

  Integration of Non-Abelian Lattices of Toda-type

  

  Author(s):

  Michael Gekhtman

  Abstract:

  This work is devoted to integration of semi-infinite and finite non-Abelian lattices of Toda-type, that is, nonlinear differential-difference equations that can be written in a Lax form

  L˙(t) = [L(t), A(t)] , where L is a tridiagonal matrix of order N ≤ ∞ whose entries are bounded operators in some Banach or Hilbert space and A is a finite band matrix of the same order whose entries depend on those of L. We develop an inverse spectral problem method for such equations that generalizes the on…

  Date Created:

  1990-06-30

  Title

  Integration of Non-Abelian Lattices of Toda-type

  Creator

  Michael Gekhtman

  Publisher

  Academy of Sciences of the Ukrainian SSR

  Date Created

  1990-06-30

  Rights

  All rights reserved

  Resource Type

  Document