LAX REPRESENTATION, R-MATRIX METHOD, AND SEPARATION OF VARIABLES FOR THE NEUMANN-TYPE RESTRICTED FLOW

Authors
ZHOU RG
Citation
Rg. Zhou, LAX REPRESENTATION, R-MATRIX METHOD, AND SEPARATION OF VARIABLES FOR THE NEUMANN-TYPE RESTRICTED FLOW, Journal of mathematical physics, 39(5), 1998, pp. 2848-2858
Citations number
25
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
39
Issue
5
Year of publication
1998
Pages
2848 - 2858
Database
ISI
SICI code
0022-2488(1998)39:5<2848:LRRMAS>2.0.ZU;2-1
Abstract
The r-matrix method and the method of separation of variables for rest ricted flows with Neumann constraints are considered, Restricted Jaule nt-Miodek flows are taken as illustrative examples. Lax representation s are obtained from the adjoint representation of the corresponding so liton hierarchy; the r-matrix formula, based on this Lax representatio n, is derived; and the separation of variables for the Hamilton-Jacobi equation are performed. (C) 1998 American Institute of Physics.