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  • Author(s):
    Michael Gekhtman

    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…

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