Darboux transformations for the two-dimensional Toda system

Darboux transformations for the two-dimensional Toda system
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DOI：
10.1098/rspa.1997.0133
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发表时间：
1997-12
期刊：
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
--
通讯作者：
J. Nimmo;R. Willox
J. Nimmo;R. Willox
中科院分区：
其他
文献类型：
--
作者：
J. Nimmo;R. Willox

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构造了二维(A∞)Toda晶格和广义非阿贝尔Toda晶格的二元达布变换。这些变换在某些约化下的不变性产生了B∞和C∞TODA格，以及对应于KAč-Moody代数的各种周期约化。较详细地研究了从非阿贝尔晶格到D∞晶格的约化。
Binary Darboux transformations are constructed for the two‐dimensional (A∞) Toda lattice and for a generalized non‐Abelian Toda lattice. Invariance of these transformations under certain reductions produces the B∞ and C∞ Toda lattices as well as various periodic reductions corresponding to Kač–Moody algebras. The reduction to the D∞ lattice from the non‐Abelian lattice is studied in some detail.