Journal of Nonlinear Mathematical Physics

Volume 1, Issue 4, November 1994, Pages 401 - 413

Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy

Authors
Sen-Yue Lou
Corresponding Author
Sen-Yue Lou
Received 1 August 1994, Available Online 1 November 1994.
DOI
10.2991/jnmp.1994.1.4.5How to use a DOI?
Abstract

It is shown that eigenvectors of the recursion operator L with the eigenvalue i and the inverse of the recursion operator Li L-i for the coupled KdV hierarchy (CKdVH) can be obtained in terms of squared eigenfunctions of the associated linear problem. The symmetry structure and corresponding infinite dimensional Lie algebras of CKdVH are also given. Using both the local and nonlocal symmetries of CKdVH, one can obtain some exact group invariant solutions and various new infinite-dimensional and finite-dimensional integrable models.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
1 - 4
Pages
401 - 413
Publication Date
1994/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1994.1.4.5How 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

TY  - JOUR
AU  - Sen-Yue Lou
PY  - 1994
DA  - 1994/11/01
TI  - Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 401
EP  - 413
VL  - 1
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.4.5
DO  - 10.2991/jnmp.1994.1.4.5
ID  - Lou1994
ER  -