### 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 - May 11 1998 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*241*(6), 335-343. https://doi.org/10.1016/S0375-9601(98)00150-9

**Casorati determinant solution for the discrete-time relativistic Toda lattice equation.** / Maruno, Ken Ichi; Kajiwara, Kenji; Oikawa, Masayuki.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 241, no. 6, pp. 335-343. https://doi.org/10.1016/S0375-9601(98)00150-9

}

TY - JOUR

T1 - Casorati determinant solution for the discrete-time relativistic Toda lattice equation

AU - Maruno, Ken Ichi

AU - Kajiwara, Kenji

AU - Oikawa, Masayuki

PY - 1998/5/11

Y1 - 1998/5/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0042416810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042416810&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(98)00150-9

DO - 10.1016/S0375-9601(98)00150-9

M3 - Article

AN - SCOPUS:0042416810

VL - 241

SP - 335

EP - 343

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 - 6

ER -