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

Ken ichi Maruno*, Masayuki Oikawa

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)122-131
ページ数10
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
270
3-4
DOI
出版ステータスPublished - 2000 5月 29
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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