Journal of Nonlinear Mathematical Physics

<Previous Article In Issue
Next Article In Issue>
Volume 5, Issue 2, May 1998, Pages 181 - 189

r-Matrix for the Restricted KdV Flows with the Neumann Constraints

Authors
Ruguang Zhou
Corresponding Author
Ruguang Zhou
Received 15 December 1996, Accepted 25 November 1997, Available Online 1 May 1998.
DOI
10.2991/jnmp.1998.5.2.9How to use a DOI?
Abstract

Under the Neumann constraints, each equation of the KdV hierarchy is decomposed into two finite dimensional systems, including the well-known Neumann model. Like in the case of the Bargmann constraint, the explicit Lax representations are deduced from the adjoint representation of the auxiliary spectral problem. It is shown that the Lax operator satisfies the r-matrix relation in the Dirac bracket. Thus, the integrabilities of these resulting systems with the Neumann constraints are obtained.

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/).

Download article (PDF)

<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 2
Pages
181 - 189
Publication Date
1998/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1998.5.2.9How 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  - Ruguang Zhou
PY  - 1998
DA  - 1998/05/01
TI  - r-Matrix for the Restricted KdV Flows with the Neumann Constraints
JO  - Journal of Nonlinear Mathematical Physics
SP  - 181
EP  - 189
VL  - 5
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.2.9
DO  - 10.2991/jnmp.1998.5.2.9
ID  - Zhou1998
ER  -