科研之友
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摘要
We present a systematic method for discretising the Painleve equations inspired by the method of Hirota (while extending it) and by that of Mickens (by specifying it to the case at hand). We derive various discrete analogues of Painleve I and II. We obtain forms that have been previously derived as well as new ones, in particular, equations with a geometry described by the affine Weyl group E-8((1)). As a by-product we obtain also linearisable equations, some of which are new.
- 出版日期2012-2
