Dynamics of Partial Differential Equations

Volume 1 (2004)

Number 2

Closed dressing chains of 1D and 2D Toda lattice

Pages: 209 – 223

DOI: https://dx.doi.org/10.4310/DPDE.2004.v1.n2.a3

Author

Artyom V. Yurov (Theoretical Physics Department, Kaliningrad State University, Kaliningrad, Russia)

Abstract

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.

Keywords

dressing chains, Toda lattice, Darboux transformation, Schlesinger transformation

2010 Mathematics Subject Classification

Primary 35-xx. Secondary 34-xx.

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Published 1 January 2004