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

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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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  -