### 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 |
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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 | |

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)

## Cite this

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*,*375*(3), 303-308. https://doi.org/10.1016/j.physleta.2010.11.029