Journal of Nonlinear Mathematical Physics

Volume 7, Issue 1, February 2000, Pages 34 - 56

On the Structure of the Bäcklund Transformations for the Relativistic Lattices

Authors
Vsevolod E. ADLER
Corresponding Author
Vsevolod E. ADLER
Available Online 13 December 2006.
DOI
https://doi.org/10.2991/jnmp.2000.7.1.4How to use a DOI?
Abstract
The Bäcklund transformations for the relativistic lattices of the Toda type and their discrete analogues can be obtained as the composition of two duality transformations. The condition of invariance under this composition allows to distinguish effectively the integrable cases. Iterations of the Bäcklund transformations can be described in the terms of nonrelativistic lattices of the Toda type. Several multifield generalizations are presented.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
7 - 1
Pages
34 - 56
Publication Date
2006/12
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2000.7.1.4How 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  - Vsevolod E. ADLER
PY  - 2006
DA  - 2006/12
TI  - On the Structure of the Bäcklund Transformations for the Relativistic Lattices
JO  - Journal of Nonlinear Mathematical Physics
SP  - 34
EP  - 56
VL  - 7
IS  - 1
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2000.7.1.4
DO  - https://doi.org/10.2991/jnmp.2000.7.1.4
ID  - ADLER2006
ER  -