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タイトル: Conserved quantities of the integrable discrete hungry systems
著者: Kakizaki, Sonomi
Fukuda, Akiko
Yamamoto, Yusaku
Iwasaki, Masashi
Ishiwata, Emiko
Nakamura, Yoshimasa  kyouindb  KAKEN_id
著者名の別形: 中村, 佳正
キーワード: Conserved quantities
discrete hungry Lotka-Volterra system
discrete hungry Toda equation
characteristic polynomial
leading principal submatrix
発行日: Oct-2015
出版者: American Institute of Mathematical Sciences
誌名: Discrete and Continuous Dynamical Systems - Series S
巻: 8
号: 5
開始ページ: 889
終了ページ: 899
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.
記述: Published: July 2015.
著作権等: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in 'Discrete and Continuous Dynamical Systems - Series S' following peer review. The definitive publisher-authenticated version [Sonomi Kakizaki, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura. Conserved quantities of the integrable discrete hungry systems. Volume 8, Issue 5, pages 889 - 899, doi:10.3934/dcdss.2015.8.889] is available online at: http://dx.doi.org/10.3934/dcdss.2015.8.889.
The full-text file will be made open to the public on 1 August 2016 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/202060
DOI(出版社版): 10.3934/dcdss.2015.8.889
出現コレクション:学術雑誌掲載論文等

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