Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System

A tower for a (2+1)-dimensional Toda type system is constructed in terms of a series expansion of operators which can be interpreted as generalized Bessel coefficients; the result is formulated as an analog of the Baker-Campbell-Hausdorff formula. We tackle the problem of the construction of infinit...

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Main Authors: M. Palese, E. Winterroth
Format: Article
Language:English
Published: CTU Central Library 2011-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1362
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author M. Palese
E. Winterroth
author_facet M. Palese
E. Winterroth
author_sort M. Palese
collection DOAJ
description A tower for a (2+1)-dimensional Toda type system is constructed in terms of a series expansion of operators which can be interpreted as generalized Bessel coefficients; the result is formulated as an analog of the Baker-Campbell-Hausdorff formula. We tackle the problem of the construction of infinitesimal algebraic skeletons for such a tower and discuss some open problems arising along our approach.
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spelling doaj.art-a1aed2f716374d15a2c9096f7941c9092022-12-21T18:20:41ZengCTU Central LibraryActa Polytechnica1210-27091805-23632011-01-015121362Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type SystemM. PaleseE. WinterrothA tower for a (2+1)-dimensional Toda type system is constructed in terms of a series expansion of operators which can be interpreted as generalized Bessel coefficients; the result is formulated as an analog of the Baker-Campbell-Hausdorff formula. We tackle the problem of the construction of infinitesimal algebraic skeletons for such a tower and discuss some open problems arising along our approach.https://ojs.cvut.cz/ojs/index.php/ap/article/view/1362Toda type systemintegrabilityinfinitesimal skeletontowerCartan connection
spellingShingle M. Palese
E. Winterroth
Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
Acta Polytechnica
Toda type system
integrability
infinitesimal skeleton
tower
Cartan connection
title Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
title_full Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
title_fullStr Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
title_full_unstemmed Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
title_short Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System
title_sort infinitesimal algebraic skeletons for a 2 1 dimensional toda type system
topic Toda type system
integrability
infinitesimal skeleton
tower
Cartan connection
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/1362
work_keys_str_mv AT mpalese infinitesimalalgebraicskeletonsfora21dimensionaltodatypesystem
AT ewinterroth infinitesimalalgebraicskeletonsfora21dimensionaltodatypesystem