Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation

Authors
Golubchik, IZ Sokolov, VV
Citation
Iz. Golubchik et Vv. Sokolov, Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation, THEOR MATH, 124(1), 2000, pp. 909-917
Citations number
13
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
124
Issue
1
Year of publication
2000
Pages
909 - 917
Database
ISI
SICI code
0040-5779(200007)124:1<909:MGOTHO>2.0.ZU;2-F
Abstract
We construct a second-order 2N-component integrable system (with arbitrary N) whose spectral parameter lieu on a curve of genus g = 1 + (N - 3)2(N-2). The odd-order flows admit N-component reductions, which for N = 3 coincide with the odd-order flows of the hierarchy of the Landau-Lifshitz equation.