RESTRICTED FLOWS OF THE KDV HIERARCHY AND R-MATRIX FORMALISM

Authors
KULISH PP RAUCHWOJCIECHOWSKI S TSIGANOV AV
Citation
Pp. Kulish et al., RESTRICTED FLOWS OF THE KDV HIERARCHY AND R-MATRIX FORMALISM, Modern physics letters A, 9(22), 1994, pp. 2063-2073
Citations number
21
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
9
Issue
22
Year of publication
1994
Pages
2063 - 2073
Database
ISI
SICI code
0217-7323(1994)9:22<2063:RFOTKH>2.0.ZU;2-I
Abstract
We derive here the r-matrix formalism for the restricted flows of the Korteveg-de Vries and coupled KdV soliton hierarchies from their Lax r epresentations. Variables of separation for the first restricted flows are found and the problem of quantization is discussed.