Searching for a universal integrable system

Citation
M. Przanowski et S. Formanski, Searching for a universal integrable system, ACT PHY P B, 30(4), 1999, pp. 863-879
Citations number
36
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
30
Issue
4
Year of publication
1999
Pages
863 - 879
Database
ISI
SICI code
0587-4254(199904)30:4<863:SFAUIS>2.0.ZU;2-2
Abstract
It is argued for the hypothesis that the SDYM equations for the Moyal brack et algebra (the master equation) is in a sense a universal integrable syste m. We show how the su(N) SDYM equations, the KP equation and the integrable equations in two dimensions can be encoded in the master equation.