Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit

Details Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit

2006-06-26

arxiv.org/abs/nlin/0606059v1

Rev.Math.Phys. 18 (2006) 1055-1074

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

10.1142/S0129055X06002838

In this paper, we derive the Fay-like identities of tau function for the Toda
lattice hierarchy from the bilinear identity. We prove that the Fay-like
identities are equivalent to the hierarchy. We also show that the
dispersionless limit of the Fay-like identities are the dispersionless Hirota
equations of the dispersionless Toda hierarchy.

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