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

9 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 languageEnglish
Pages (from-to)303-308
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number3
DOIs
Publication statusPublished - 2011 Jan 17
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A Bäcklund transformation between two integrable discrete hungry systems. / Fukuda, Akiko; Yamamoto, Yusaku; Iwasaki, Masashi; Ishiwata, Emiko; Nakamura, Yoshimasa.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 375, No. 3, 17.01.2011, p. 303-308.

Research output: Contribution to journal › Article

Fukuda, A, Yamamoto, Y, Iwasaki, M, Ishiwata, E & Nakamura, Y 2011, 'A Bäcklund transformation between two integrable discrete hungry systems', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 375, no. 3, pp. 303-308. https://doi.org/10.1016/j.physleta.2010.11.029
Fukuda A, Yamamoto Y, Iwasaki M, Ishiwata E, Nakamura Y. A Bäcklund transformation between two integrable discrete hungry systems. Physics Letters, Section A: General, Atomic and Solid State Physics. 2011 Jan 17;375(3):303-308. https://doi.org/10.1016/j.physleta.2010.11.029
Fukuda, Akiko ; Yamamoto, Yusaku ; Iwasaki, Masashi ; Ishiwata, Emiko ; Nakamura, Yoshimasa. / A Bäcklund transformation between two integrable discrete hungry systems. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2011 ; Vol. 375, No. 3. pp. 303-308.
@article{ff4fa7975b854bda999373fcc43d7ec4,
title = "A B{\"a}cklund transformation between two integrable discrete hungry systems",
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",
author = "Akiko Fukuda and Yusaku Yamamoto and Masashi Iwasaki and Emiko Ishiwata and Yoshimasa Nakamura",
year = "2011",
month = "1",
day = "17",
doi = "10.1016/j.physleta.2010.11.029",
language = "English",
volume = "375",
pages = "303--308",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=78650881842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650881842&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2010.11.029

DO - 10.1016/j.physleta.2010.11.029

M3 - Article

VL - 375

SP - 303

EP - 308

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 -

Access to Document