A finite dimensional completely integrable system associated with the WKI-and Heisenberg hierarchies

Authors
Schmid, R Xu, TX Li, ZD
Citation
R. Schmid et al., A finite dimensional completely integrable system associated with the WKI-and Heisenberg hierarchies, J NONL M PH, 8, 2001, pp. 261-265
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Year of publication
2001
Supplement
S
Pages
261 - 265
Database
ISI
SICI code
1402-9251(200102)8:<261:AFDCIS>2.0.ZU;2-X
Abstract
We consider the following spectral problem [GRAPHICS] where u, v, w are smooth functions. It produces a hierarchy of evolution eq uations with an arbitrary function A(m-1). This hierarchy includes the WKI [8] and Heisenberg [7] hierarchies by properly selecting the special functi on A(m-1). We derive this new evolution equations, and give the finite dime nsional completely integrable systems (FDCIS) associated with theses equati ons.