Bilinear forms of integrable lattices related to Toda and Lotka-Volterra lattices

Ken Ichi Maruno, Wen Xiu Ma

研究成果: Article査読

6 被引用数 (Scopus)

抄録

Hirota's bilinear technique is applied to some integrable lattice systems related to the Bäcklund transformations of the 2DToda, Lotka-Volterra and relativistic Lotka- Volterra lattice systems, which include the modified Lotka-Volterra lattice system, the modified relativistic Lotka-Volterra lattice system, and the generalized Blaszak- Marciniak lattice systems. Determinant solutions are constructed through the resulting bilinear forms, especially for the modified relativistic Lotka-Volterra lattice system and a two-dimensional Blaszak-Marciniak lattice system.

本文言語English
ページ(範囲)127-139
ページ数13
ジャーナルJournal of Nonlinear Mathematical Physics
9
DOI
出版ステータスPublished - 2002
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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