JournalsprimsVol. 38, No. 1pp. 113–133

On a Discrete Analogue of the Two-Dimensional Toda Lattice Hierarchy

  • Satoshi Tsujimoto

    Osaka University Graduate School of Eng. Science, Japan
On a Discrete Analogue of the Two-Dimensional Toda Lattice Hierarchy cover
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Abstract

A discrete analogue of the two-dimensional Toda lattice hierarchy, which includes the discrete analogue of the two-dimensional Toda lattice equation, is obtained by extending the theory of the Toda lattice hierarchy. Special solutions and bilinear equations for the discrete analogue of the two-dimensional Toda lattice hierarchy are presented. It is shown that the subjects originated from the Sato theory are useful for the discrete-time integrable systems.

Cite this article

Satoshi Tsujimoto, On a Discrete Analogue of the Two-Dimensional Toda Lattice Hierarchy. Publ. Res. Inst. Math. Sci. 38 (2002), no. 1, pp. 113–133

DOI 10.2977/PRIMS/1145476418