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

doi:10.1063/1.3498349

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 journal › Conference article › peer-review

2 Citations (Scopus)

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	https://doi.org/10.1063/1.3498349
Publication status	Published - 2010 Dec 1
Externally published	Yes
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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10.1063/1.3498349

Cite this

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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 B{\"a}cklund transformation, enables us to translate the knowledge on one system directly to the knowledge on the other system. In this paper, we present a B{\"a}cklund 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.",

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T1 - On a variable transformation between two integrable systems

T2 - International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010

AU - Yamamoto, Yusaku

AU - Fukuda, Akiko

AU - Iwasaki, Masashi

AU - Ishiwata, Emiko

AU - Nakamura, Yoshimasa

PY - 2010/12/1

Y1 - 2010/12/1

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 - Integrable systems

KW - LR algorithm

KW - Origin shift

KW - discrete hungry Lotka-Volterra system

KW - discrete hungry Toda equation

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JO - AIP Conference Proceedings

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

Abstract

Keywords

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