Fay-like identities of the Toda lattice hierarchy and its dispersionless limit

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 equat...

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Bibliographic Details
Main Author: TEO, LEE-PENG
Format: Article
Published: WORLD SCIENTIFIC PUBL CO PTE LTD 2006
Subjects:
Online Access:http://shdl.mmu.edu.my/3249/