The conserved quantities and symmetries of the two-dimensional Toda lattice hierarchy

Kenji Kajiwara, Junkichi Satsuma

研究成果: Contribution to journalArticle

43 引用 (Scopus)

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The conserved quantities and symmetries of the soliton equations included in the 2DTL (two-dimensional Toda lattice) hierarchy are considered by means of the theory of the τ function. A typical example is presented for the 2DTL equation that is the simplest nontrivial equation in the hierarchy. Then, by applying suitable reductions, the cases of the Toda lattice equation and the sine-Gordon equation are discussed.

元の言語英語
ページ(範囲)506-514
ページ数9
ジャーナルJournal of Mathematical Physics
32
発行部数2
DOI
出版物ステータス出版済み - 1 1 1991
外部発表Yes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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