Conserved quantities of the integrable discrete hungry systems

• Kakizaki, Sonomi

• Fukuda, Akiko

• Yamamoto, Yusaku

• Iwasaki, Masashi

• Ishiwata, Emiko

• 中村, 佳正

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.

Published: July 2015.

収録刊行物

• Discrete and Continuous Dynamical Systems - Series S

  Discrete and Continuous Dynamical Systems - Series S 8 (5), 889-899, 2015-10

  American Institute of Mathematical Sciences

キーワード

• Conserved quantities
• discrete hungry Lotka-Volterra system
• discrete hungry Toda equation
• characteristic polynomial
• leading principal submatrix

詳細情報

• CRID: 1050564285772196096
• NII論文ID: 120005674655
• NII書誌ID: AA1230887X
• ISSN: 19371632
• HANDLE: 2433/202060
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles
  • KAKEN