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- European Organization for Nuclear ResearchCH21 papers
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6 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…
Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
Volodymyr B. Taranov
Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations…
Symmetries and Dynamics of Discrete Systems
Vladimir V. Kornyak
We consider discrete dynamical systems and lattice models in statistical mechanics from the point of view of their symmetry groups. We describe a C program for symmetry analysis of…
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…