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Toda lattice and Korteweg de Vries relation

  1. Jun 14, 2004 #1
    Does anybody know where I can find a good reference which describes in a simple way the relations between the Toda lattice and the Korteweg de Vries equation and in particular the former as the finite-dimensional equivalent of the latter?
     
  2. jcsd
  3. Jun 29, 2004 #2
    Relation of Toda and Kdv

    A good place to start is the book by M. Toda
     
  4. Jul 21, 2004 #3
    Thank you, the book "Theory of nonlinear lattices" (1981) has been indeed helpful.

    I have also found out that the relationship was first pointed out by Flaschka in 1974 and should be described in on of his articles (Phys. Rev. B 9, 1924–1925 (1974), http://prola.aps.org/abstract/PRB/v9/i4/p1924_1).
     
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