A generalization of the Lax equation

Authors
Przybylska, M
Citation
M. Przybylska, A generalization of the Lax equation, J GEOM PHYS, 38(3-4), 2001, pp. 217-252
Citations number
44
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
38
Issue
3-4
Year of publication
2001
Pages
217 - 252
Database
ISI
SICI code
0393-0440(200106)38:3-4<217:AGOTLE>2.0.ZU;2-U
Abstract
We propose a generalization of the standard Lax equation defined by means o f an arbitrary action of a Lie algebra on a matrix differential manifold. W e analyze properties of obtained equation and show examples with physical a pplications. In particular, certain constructions of Hamiltonian subclasses of this generalized Lax equation are described. (C) 2001 Elsevier Science B.V. all rights reserved.