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

Kenji Kajiwara; Junkichi Satsuma

doi:10.1063/1.529387

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

Kenji Kajiwara, Junkichi Satsuma

Research output: Contribution to journal › Article › peer-review

16 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 language	English
Pages (from-to)	506-514
Number of pages	9
Journal	Journal of Mathematical Physics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1063/1.529387
Publication status	Published - Jan 1 1991
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.529387

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

Abstract

All Science Journal Classification (ASJC) codes

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