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The constrained KP hierarchy and the generalised Miura transformation

✍ Scribed by Javier Mas; Eduardo Ramos

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
535 KB
Volume
351
Category
Article
ISSN
0370-2693

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Integrable difference analogue of the lo
Integrable difference analogue of the logistic equation and Bäcklund transformation of the KP hierarchy
✍ Noriko Saitoh; Satoru Saito; Akinobu Shimizu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 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