STATIONARY PROBLEMS FOR EQUATION OF THE KDV TYPE AND DYNAMICAL R-MATRICES

Authors
KULISH PP RAUCHWOJCIECHOWSKI S TSIGANOV AV
Citation
Pp. Kulish et al., STATIONARY PROBLEMS FOR EQUATION OF THE KDV TYPE AND DYNAMICAL R-MATRICES, Journal of mathematical physics, 37(7), 1996, pp. 3463-3482
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
7
Year of publication
1996
Pages
3463 - 3482
Database
ISI
SICI code
0022-2488(1996)37:7<3463:SPFEOT>2.0.ZU;2-L
Abstract
We study a new quite general family of dynamical r-matrices for an aux iliary loop algebra L(su(2)) related to restricted flows for equations of the KdV type. This underlying r-matrix structure allows us to reco nstruct Lax representations and to find variables of separation for a wide set of the integrable natural Hamiltonian systems. (C) 1996 Ameri can Institute of Physics.