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 |
|---|---|
| Pages (from-to) | 2045-2048 |
| Number of pages | 4 |
| Journal | AIP Conference Proceedings |
| Volume | 1281 |
| DOIs | |
| Publication status | Published - 2010 Dec 1 |
| Event | International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece Duration: 2010 Sep 19 → 2010 Sep 25 |
Keywords
- Bäcklund transformation
- Integrable systems
- LR algorithm
- Origin shift
- discrete hungry Lotka-Volterra system
- discrete hungry Toda equation
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Yamamoto, Y., Fukuda, A., Iwasaki, M., Ishiwata, E., & Nakamura, Y. (2010). On a variable transformation between two integrable systems: The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system. AIP Conference Proceedings, 1281, 2045-2048. https://doi.org/10.1063/1.3498349