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

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

2003-09-23

arxiv.org/abs/nlin/0309063v1

Dynamics of PDE, Vol.1, No. 2, 85-89 (2004)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

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 $m_0TL$ and $m_1TL$
it is shown that combination of the Darboux and Schlesinger transformations
results in closed dressing chains.

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