A Bäcklund transformation between two integrable discrete hungry systems

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

doi:10.1016/j.physleta.2010.11.029

A Bäcklund transformation between two integrable discrete hungry systems

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

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a Bäcklund transformation between these integrable systems.

Original language	English
Pages (from-to)	303-308
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2010.11.029
Publication status	Published - 2011 Jan 17
Externally published	Yes

Keywords

Bäcklund transformation
Discrete hungry Lotka-Volterra system
Discrete hungry Toda equation
LR transformation

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1016/j.physleta.2010.11.029

Cite this

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abstract = "The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a B{\"a}cklund transformation between these integrable systems.",

keywords = "B{\"a}cklund transformation, Discrete hungry Lotka-Volterra system, Discrete hungry Toda equation, LR transformation",

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T1 - A Bäcklund transformation between two integrable discrete hungry systems

AU - Fukuda, Akiko

AU - Yamamoto, Yusaku

AU - Iwasaki, Masashi

AU - Ishiwata, Emiko

AU - Nakamura, Yoshimasa

PY - 2011/1/17

Y1 - 2011/1/17

N2 - The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a Bäcklund transformation between these integrable systems.

AB - The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhLV system, we present a Bäcklund transformation between these integrable systems.

KW - Bäcklund transformation

KW - Discrete hungry Lotka-Volterra system

KW - Discrete hungry Toda equation

KW - LR transformation

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3

ER -