Abstract
In the study of dynamical systems, it is often useful to find a variable transformation that maps the solution of one system to another system. Such transformation, known as the Bäcklund transformation, enables us to translate the knowledge on one system directly to the knowledge on the other system. In this paper, we present a Bäcklund transformation between two discrete integrable systems, namely, the discrete hungry Toda equation with origin shift and the discrete hungry Lotka-Volterra system with finite step size.
| Original language | English |
|---|---|
| Title of host publication | AIP Conference Proceedings |
| Pages | 2045-2048 |
| Number of pages | 4 |
| Volume | 1281 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece Duration: 2010 Sep 19 → 2010 Sep 25 |
Other
| Other | International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 |
|---|---|
| Country | Greece |
| City | Rhodes |
| Period | 10/9/19 → 10/9/25 |
Fingerprint
Keywords
- Bäcklund transformation
- discrete hungry Lotka-Volterra system
- discrete hungry Toda equation
- Integrable systems
- LR algorithm
- Origin shift
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
On a variable transformation between two integrable systems : The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system. / Yamamoto, Yusaku; Fukuda, Akiko; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa.
AIP Conference Proceedings. Vol. 1281 2010. p. 2045-2048.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - On a variable transformation between two integrable systems
T2 - The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system
AU - Yamamoto, Yusaku
AU - Fukuda, Akiko
AU - Iwasaki, Masashi
AU - Ishiwata, Emiko
AU - Nakamura, Yoshimasa
PY - 2010
Y1 - 2010
N2 - In the study of dynamical systems, it is often useful to find a variable transformation that maps the solution of one system to another system. Such transformation, known as the Bäcklund transformation, enables us to translate the knowledge on one system directly to the knowledge on the other system. In this paper, we present a Bäcklund transformation between two discrete integrable systems, namely, the discrete hungry Toda equation with origin shift and the discrete hungry Lotka-Volterra system with finite step size.
AB - In the study of dynamical systems, it is often useful to find a variable transformation that maps the solution of one system to another system. Such transformation, known as the Bäcklund transformation, enables us to translate the knowledge on one system directly to the knowledge on the other system. In this paper, we present a Bäcklund transformation between two discrete integrable systems, namely, the discrete hungry Toda equation with origin shift and the discrete hungry Lotka-Volterra system with finite step size.
KW - Bäcklund transformation
KW - discrete hungry Lotka-Volterra system
KW - discrete hungry Toda equation
KW - Integrable systems
KW - LR algorithm
KW - Origin shift
UR - http://www.scopus.com/inward/record.url?scp=79954531121&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79954531121&partnerID=8YFLogxK
U2 - 10.1063/1.3498349
DO - 10.1063/1.3498349
M3 - Conference contribution
AN - SCOPUS:79954531121
VL - 1281
SP - 2045
EP - 2048
BT - AIP Conference Proceedings
ER -