On a variable transformation between two integrable systems: The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system

Yusaku Yamamoto, Akiko Fukuda, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura

研究成果: Conference article査読

抄録

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.

本文言語English
ページ(範囲)2045-2048
ページ数4
ジャーナルAIP Conference Proceedings
1281
DOI
出版ステータスPublished - 2010 12 1
外部発表はい
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece
継続期間: 2010 9 192010 9 25

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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