THE CONSERVED QUANTITIES AND SYMMETRIES OF THE 2-DIMENSIONAL TODA LATTICE HIERARCHY

被引：43

作者：

KAJIWARA, K

SATSUMA, J

机构：

[1] Department of Applied Physics, Faculty of Engineering, University of Tokyo, Bunkyo-ku, Tokyo 113

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 02期

关键词：

D O I：

10.1063/1.529387

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 tau 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.

引用

页码：506 / 514

页数：9

共 16 条

[1]

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[2]

BAROUCH E, 1988, RIMS PUBL, V650, P179

[3]

Date E., 1983, Non-Linear Integrable Systems - Classical Theory and Quantum Theory. Proceedings of RIMS Symposium, P39

[4] TODA LATTICE .2. EXISTENCE OF INTEGRALS [J].