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On additional symmetries of the KP hierarchy and Sato's Backlund transformation

✍ Scribed by L. A. Dickey


Publisher
Springer
Year
1995
Tongue
English
Weight
265 KB
Volume
167
Category
Article
ISSN
0010-3616

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Integrable difference analogue of the lo
✍ Noriko Saitoh; Satoru Saito; Akinobu Shimizu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 714 KB

A difference analogue of the logistic equation, which preserves integrability, is derived from Hirota's bilinear difference equation. The integrability of the map is shown to result from the large symmetry associated with the Backlund transformation of the KP hierarchy. We introduce a scheme which i