Journal of Nonlinear Mathematical Physics

Volume 3, Issue 3-4, September 1996, Pages 245 - 259

Symmetries of the Classical Integrable Systems and 2-Dimensional Quantum Gravity: a `Map'

Authors
R.K. Bullough, P.J. Caudrey
Corresponding Author
R.K. Bullough
Available Online 2 September 1996.
DOI
10.2991/jnmp.1996.3.3-4.1How to use a DOI?
Abstract

We draw attention to the connections recently established by others between the classical integrable KdV and KP hierarchies in 1+1 and 2+1 dimensions respectively and the matrix models which relate to the partition functions of 2-dimensional (1 + 1 dimensional) quantum gravity. The symmetries of the classical KP hierarchy in 2 + 1 dimensions are fundamental to this connection.

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
3 - 3-4
Pages
245 - 259
Publication Date
1996/09/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.3-4.1How 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  - R.K. Bullough
AU  - P.J. Caudrey
PY  - 1996
DA  - 1996/09/02
TI  - Symmetries of the Classical Integrable Systems and 2-Dimensional Quantum Gravity: a `Map'
JO  - Journal of Nonlinear Mathematical Physics
SP  - 245
EP  - 259
VL  - 3
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.3-4.1
DO  - 10.2991/jnmp.1996.3.3-4.1
ID  - Bullough1996
ER  -