title: |
A factorization for Z × Z-matrices yielding solutions of Toda-type hierarchies |
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publication: |
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| volume-issue: | 12 - Supplement 2 | |
| pages: | 206 - 222 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.s2.15 (how to use a DOI) | |
author(s): |
Gerardus Franciscus HELMINCK |
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publication date: |
December 2005 |
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abstract: |
In this paper one considers the problem of finding solutions to a number of Todtype hierarchies. All of them are associated with a commutative subalgebra of the
k×k-matrices. The first one is formulated in terms of upper triangular Z×Z-matrices,
the second one in terms of lower triangular ones and the third is a combination of the
two foregoing types. It is shown that in an appropriate group setting solutions of
the linearization of these Lax equations can be constructed by using a Birkhoff-type
decomposition in the relevant group. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |