English

Closed dressing chains of D=1 and D=2 Toda lattice

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

We apply the method of dressing chains to reproduction of Toda lattice in the case of D=1 and D=2. On the example of modified equations m0TLm_0TL and m1TLm_1TL it is shown that combination of the Darboux and Schlesinger transformations results in closed dressing chains.

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Cite

@article{arxiv.nlin/0309063,
  title  = {Closed dressing chains of D=1 and D=2 Toda lattice},
  author = {A. V. Yurov},
  journal= {arXiv preprint arXiv:nlin/0309063},
  year   = {2007}
}

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15 pages