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/ |
| _version_ | 1848790275224240128 |
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| author | TEO, LEE-PENG |
| author_facet | TEO, LEE-PENG |
| author_sort | TEO, LEE-PENG |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:10:01Z |
| format | Article |
| id | mmu-3249 |
| institution | Multimedia University |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:10:01Z |
| publishDate | 2006 |
| publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-32492011-10-13T06:16:29Z http://shdl.mmu.edu.my/3249/ Fay-like identities of the Toda lattice hierarchy and its dispersionless limit TEO, LEE-PENG T Technology (General) QC Physics 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. WORLD SCIENTIFIC PUBL CO PTE LTD 2006-11 Article NonPeerReviewed TEO, LEE-PENG (2006) Fay-like identities of the Toda lattice hierarchy and its dispersionless limit. Reviews in Mathematical Physics, 18 (10). pp. 1055-1073. ISSN 0129055X http://dx.doi.org/10.1142/S0129055X06002838 doi:10.1142/S0129055X06002838 doi:10.1142/S0129055X06002838 |
| spellingShingle | T Technology (General) QC Physics TEO, LEE-PENG Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title | Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title_full | Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title_fullStr | Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title_full_unstemmed | Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title_short | Fay-like identities of the Toda lattice hierarchy and its dispersionless limit |
| title_sort | fay-like identities of the toda lattice hierarchy and its dispersionless limit |
| topic | T Technology (General) QC Physics |
| url | http://shdl.mmu.edu.my/3249/ http://shdl.mmu.edu.my/3249/ http://shdl.mmu.edu.my/3249/ |