Journal of Nonlinear Mathematical Physics

Volume 15, Issue 1, March 2008, Pages 48 - 65

On the (2+1)-Dimensional Extension of 1-Dimensional Toda Lattice Hierarchy

Authors
Yuji OGAWA
Corresponding Author
Yuji OGAWA
Available Online 1 March 2008.
DOI
https://doi.org/10.2991/jnmp.2008.15.1.5How to use a DOI?
Abstract
We introduce a (2+1)-dimensional extension of the 1-dimensional Toda lattice hierar- chy. The hierarchy is given by two different formulations. For the first formulation, we obtain the bilinear identity for the ? -functions and construct explicit solutions ex- pressed by Wronski determinants. For the second formulation, we obtain the slightly different bilinear identity and clarify the relation to the hierarchy arising from the ho- mogeneous vertex representation of the 2-toroidal Lie algebra sl tor 2 , obtained by Kakei et al.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 1
Pages
48 - 65
Publication Date
2008/03
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2008.15.1.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Yuji OGAWA
PY  - 2008
DA  - 2008/03
TI  - On the (2+1)-Dimensional Extension of 1-Dimensional Toda Lattice Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 48
EP  - 65
VL  - 15
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.1.5
DO  - https://doi.org/10.2991/jnmp.2008.15.1.5
ID  - OGAWA2008
ER  -