Conserved quantities of the integrable discrete hungry systems

Sonomi Kakizaki, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura

研究成果: Article査読

抄録

In this paper, conserved quantities of the discrete hungry Lotka- Volterra (dhLV) system are derived. Our approach is based on the Lax representation of the dhLV system, which expresses the time evolution of the dhLV system as a similarity transformation on a certain square matrix. Thus, coefficients of the characteristic polynomial of this matrix constitute conserved quantities of the dhLV system. These coefficients are calculated explicitly through a recurrence relation among the characteristic polynomials of its leading principal submatrices. The conserved quantities of the discrete hungry Toda (dhToda) equation is also derived with the help of the Bäcklund transformation between the dhLV system and the dhToda equation.

本文言語English
ページ(範囲)889-899
ページ数11
ジャーナルDiscrete and Continuous Dynamical Systems - Series S
8
5
DOI
出版ステータスPublished - 2015 10 1

ASJC Scopus subject areas

  • 分析
  • 離散数学と組合せ数学
  • 応用数学

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