A Finite Dimensional Completely Integrable System Associated with the WKI- and Heisenberg Hierarchies

A Finite Dimensional Completely Integrable System Associated with the WKI- and Heisenberg Hierarchies

We consider the following spectral problem (1) where u, v, w are smooth functions. It produces a hierarchy of evolution equations with an arbitrary function Am−1. This hierarchy includes the WKI [8] and Heisenberg [7] hierarchies by properly selecting the special function Am−1. We derive this new ev...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of nonlinear mathematical physics 2001-02, Vol.8 (Supplement), p.261-265, Article 261
Hauptverfasser: Schmid, Rudolf, Xu, Taixi, Li, Zhongding
Format: Artikel
Sprache:eng
Schlagworte:
Evolution
Hierarchies
Mathematical analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider the following spectral problem (1) where u, v, w are smooth functions. It produces a hierarchy of evolution equations with an arbitrary function Am−1. This hierarchy includes the WKI [8] and Heisenberg [7] hierarchies by properly selecting the special function Am−1. We derive this new evolution equations, and give the finite dimensional completely integrable systems (FDCIS) associated with theses equations.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.2991/jnmp.2001.8.s.45