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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| Format: | Article |
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WORLD SCIENTIFIC PUBL CO PTE LTD
2006
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| Online Access: | http://shdl.mmu.edu.my/3249/ |
| Summary: | 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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