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4 papers · 1 filter
The rational dressing for abelian twisted loop Toda systems
Kh. S. Nirov, A. V. Razumov
We consider abelian twisted loop Toda equations associated with the complex general linear groups. The Dodd--Bullough--Mikhailov equation is a simplest particular case of the equat…
Abelian Toda solitons revisited
Kh. S. Nirov, A. V. Razumov
We present a systematic and detailed review of the application of the method of Hirota and the rational dressing method to abelian Toda systems associated with the untwisted loop g…
On Z-graded loop Lie algebras, loop groups, and Toda equations
Kh. S. Nirov, A. V. Razumov
Toda equations associated with twisted loop groups are considered. Such equations are specified by Z-gradations of the corresponding twisted loop Lie algebras. The classification o…
Toda equations associated with loop groups of complex classical Lie groups
Kh. S. Nirov, A. V. Razumov
A Toda equation is specified by a choice of a Lie group and a -gradation of its Lie algebra. The Toda equations associated with loop groups of complex classical Lie grou…