TO A TRANSFORMATION THEORY OF 2-DIMENSIONAL INTEGRABLE SYSTEMS

Citation
Ab. Shabat et Ri. Yamilov, TO A TRANSFORMATION THEORY OF 2-DIMENSIONAL INTEGRABLE SYSTEMS, Physics letters. A, 227(1-2), 1997, pp. 15-23
Citations number
14
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
227
Issue
1-2
Year of publication
1997
Pages
15 - 23
Database
ISI
SICI code
0375-9601(1997)227:1-2<15:TATTO2>2.0.ZU;2-L
Abstract
We generaIise to the two-dimensional case a list of integrable Toda ty pe lattice equations. As a result, 1 + 2 dimensional systems similar t o the Davey-Stewartson coupled system are obtained together with expli cit auto-Backlund transformations and 2D Miura type transformations.