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

Kenichi Maruno, Masayuki Oikawa

研究成果: Article

4 引用 (Scopus)

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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.

元の言語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
発行部数3-4
DOI
出版物ステータスPublished - 2000 5 29
外部発表Yes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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