### Abstract

The relativistic Lotka-Volterra (RLV) lattice and the discrete-time relativistic Lotka-Volterra (dRLV) lattice are investigated by using the bilinear formalism. The bilinear equations for them are systematically constructed with the aid of the singularity confinement test. It is shown that the RLV lattice and dRLV lattice are decomposed into the Backlund transformations of the Toda lattice system. The N-soliton solutions are explicitly constructed in the form of the Casorati determinant. (C) 2000 Elsevier Science B.V.

Original language | English |
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Pages (from-to) | 122-131 |

Number of pages | 10 |

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

Volume | 270 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2000 May 29 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Bilinear structure and determinant solution for the relativistic Lotka-Volterra equation.** / Maruno, Kenichi; Oikawa, Masayuki.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 270, no. 3-4, pp. 122-131. https://doi.org/10.1016/S0375-9601(00)00176-6

}

TY - JOUR

T1 - Bilinear structure and determinant solution for the relativistic Lotka-Volterra equation

AU - Maruno, Kenichi

AU - Oikawa, Masayuki

PY - 2000/5/29

Y1 - 2000/5/29

N2 - The relativistic Lotka-Volterra (RLV) lattice and the discrete-time relativistic Lotka-Volterra (dRLV) lattice are investigated by using the bilinear formalism. The bilinear equations for them are systematically constructed with the aid of the singularity confinement test. It is shown that the RLV lattice and dRLV lattice are decomposed into the Backlund transformations of the Toda lattice system. The N-soliton solutions are explicitly constructed in the form of the Casorati determinant. (C) 2000 Elsevier Science B.V.

AB - The relativistic Lotka-Volterra (RLV) lattice and the discrete-time relativistic Lotka-Volterra (dRLV) lattice are investigated by using the bilinear formalism. The bilinear equations for them are systematically constructed with the aid of the singularity confinement test. It is shown that the RLV lattice and dRLV lattice are decomposed into the Backlund transformations of the Toda lattice system. The N-soliton solutions are explicitly constructed in the form of the Casorati determinant. (C) 2000 Elsevier Science B.V.

UR - http://www.scopus.com/inward/record.url?scp=0034729059&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034729059&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(00)00176-6

DO - 10.1016/S0375-9601(00)00176-6

M3 - Article

AN - SCOPUS:0034729059

VL - 270

SP - 122

EP - 131

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 - 3-4

ER -