Citation
Jjc. Nimmo et R. Willox, DARBOUX TRANSFORMATIONS FOR THE 2-DIMENSIONAL TODA SYSTEM, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 453(1967), 1997, pp. 2497-2525
Citations number
22
Journal title
Proceedings - Royal Society. Mathematical, physical and engineering sciences
ISSN journal
13645021
→ ACNP
Volume
453
Issue
1967
Year of publication
1997
Pages
2497 - 2525
Database
ISI
SICI code
1364-5021(1997)453:1967<2497:DTFT2T>2.0.ZU;2-D
Abstract
Binary Darboux transformations are constructed for the two-dimensional
(A,) Toda lattice and for a generalized non-Abelian Toda lattice. Inv
ariance of these transformations under certain reductions produces the
B-infinity, and C-infinity, Toda lattices as well as various periodic
reductions corresponding to Kac-Moody algebras. The reduction to the
D-infinity, lattice from the non-Abelian lattice is studied in some de
tail.