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The Hopf-Cole transformation and the KP equation

✍ Scribed by F. Guil; M. Mañas; G. Álvarez

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
255 KB
Volume
190
Category
Article
ISSN
0375-9601

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✍ 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