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: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationAIP Conference Proceedings
Pages2045-2048
Number of pages4
Volume1281
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece
Duration: 2010 Sep 192010 Sep 25

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010
CountryGreece
CityRhodes
Period10/9/1910/9/25

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dynamical systems
shift

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 proceedingConference contribution

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. in AIP Conference Proceedings. vol. 1281, pp. 2045-2048, International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010, Rhodes, Greece, 10/9/19. https://doi.org/10.1063/1.3498349
Yamamoto, Yusaku ; Fukuda, Akiko ; Iwasaki, Masashi ; Ishiwata, Emiko ; Nakamura, Yoshimasa. / On a variable transformation between two integrable systems : The discrete hungry Toda equation and the discrete hungry Lotka-Volterra system. AIP Conference Proceedings. Vol. 1281 2010. pp. 2045-2048
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