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

Kenji Kajiwara, Junkichi Satsuma

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)506-514
Number of pages9
JournalJournal of Mathematical Physics
Volume32
Issue number2
DOIs
Publication statusPublished - Jan 1 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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