### Abstract

The discrete-time relativistic Toda lattice (dRTL) equation is investigated by using the bilinear formalism. Bilinear equations are systematically constructed with the aid of the singularity confinement method. It is shown that the dRTL equation is decomposed into the Bäcklund transformations of the discrete-time Toda lattice equation. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.

Original language | English |
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Pages (from-to) | 335-343 |

Number of pages | 9 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 241 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1998 May 11 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Maruno, K. I., Kajiwara, K., & Oikawa, M. (1998). Casorati determinant solution for the discrete-time relativistic Toda lattice equation.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*241*(6), 335-343. https://doi.org/10.1016/S0375-9601(98)00150-9