Dynamics of Partial Differential Equations
Volume 1 (2004)
Closed dressing chains of 1D and 2D Toda lattice
Pages: 209 – 223
We apply the method of dressing chains to reproduction of Todalattice in the case of 1D and 2D. On the example of modifiedequations $m_0TL$ and $m_1TL$ it is shown that combination of theDarboux and Schlesinger transformations results in closed dressing chains.
dressing chains, Toda lattice, Darboux transformation, Schlesinger transformation
2010 Mathematics Subject Classification
Primary 35-xx. Secondary 34-xx.