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

Research output: Contribution to journalConference article


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 languageEnglish
Pages (from-to)2045-2048
Number of pages4
JournalAIP Conference Proceedings
Publication statusPublished - 2010 Dec 1
EventInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece
Duration: 2010 Sep 192010 Sep 25



  • 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)

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