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

Kenichi Maruno, Masayuki Oikawa

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Pages (from-to)122-131
Number of pages10
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume270
Issue number3-4
DOIs
Publication statusPublished - 2000 May 29
Externally publishedYes

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Volterra equations
determinants
solitary waves
formalism

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.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 270, No. 3-4, 29.05.2000, p. 122-131.

Research output: Contribution to journalArticle

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