Volume 12, Issue Supplement 2, December 2005, Pages 206 - 222
A factorization for Z × Z-matrices yielding solutions of Toda-type hierarchies
Authors
Gerardus Franciscus Helminck
Corresponding Author
Gerardus Franciscus Helminck
Available Online 1 December 2005.
- DOI
- 10.2991/jnmp.2005.12.s2.15How to use a DOI?
- 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Gerardus Franciscus Helminck PY - 2005 DA - 2005/12/01 TI - A factorization for Z × Z-matrices yielding solutions of Toda-type hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 206 EP - 222 VL - 12 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.s2.15 DO - 10.2991/jnmp.2005.12.s2.15 ID - Helminck2005 ER -