Laplace, Bäcklund and gauge transformations in the two-dimensional Toda lattice

  • Saito S
  • Saitoh N
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Abstract

The linear Bäcklund transformation (LBT) associated with the two-dimensional Toda lattice is shown to be equivalent to a sequence of Laplace transformations of a hyperbolic linear differential equation. When the Toda lattice is cut at a point, the corresponding Laplace invariant vanishes and the LBT can be integrated. © 1987.

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Authors

  • S. Saito

  • N. Saitoh

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