Journal of Nonlinear Mathematical Physics

Volume 3, Issue 3-4, September 1995, Pages 266 - 285

Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean Self-Dual Yang-Mills Equations

Authors
M. LEGARÉ
Corresponding Author
M. LEGARÉ
Available Online 19 December 2006.
DOI
https://doi.org/10.2991/jnmp.1996.3.3-4.3How to use a DOI?
Abstract
The reduction by symmetry of the linear system of the self-dual Yang-Mills equations in four-dimensions under representatives of the conjugacy classes of subgroups of the connected part to the identity of the corresponding Euclidean group under itself is carried out. Only subgroups leading to systems of differential equations nonequivalent to conditions of zero curvature without parameter, or to systems of uncoupled first order linear O.D.E.'s are considered. Lax pairs for a modified form of the Nahm's equations as well as for systems of partial differential equations in two and three dimensions are written out.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
3 - 3
Pages
266 - 285
Publication Date
2006/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1996.3.3-4.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - M. LEGARÉ
PY  - 2006
DA  - 2006/12
TI  - Symmetry Reductions of the Lax Pair of the Four-Dimensional Euclidean Self-Dual Yang-Mills Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 266
EP  - 285
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.3
DO  - https://doi.org/10.2991/jnmp.1996.3.3-4.3
ID  - LEGARÉ2006
ER  -