Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 261 - 265

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

Authors
Rudolf Schmid, Taixi Xu, Zhongding Li
Corresponding Author
Rudolf Schmid
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.45How to use a DOI?
Abstract

We consider the following spectral problem y1 y2 x = -w u v w y1 y2 M y1 y2 , (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 Heiseberg [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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - Supplement
Pages
261 - 265
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.45How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Rudolf Schmid
AU  - Taixi Xu
AU  - Zhongding Li
PY  - 2001
DA  - 2001/02/01
TI  - A Finite Dimensional Completely Integrable System Associated with the WKI- and Heisenberg Hierarchies
JO  - Journal of Nonlinear Mathematical Physics
SP  - 261
EP  - 265
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.45
DO  - 10.2991/jnmp.2001.8.s.45
ID  - Schmid2001
ER  -