ar X iv : 0 71 1 . 06 15 v 1 [ nl in . S I ] 5 N ov 2 00 7 Painlevé structure of a multi - ion electrodiffusion system ∗
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چکیده
A nonlinear coupled system descriptive of multi-ion electrodiffusion is investigated and all parameters for which the system admits a single-valued general solution are isolated. This is achieved via a method initiated by Painlevé with the application of a test due to Kowalevski and Gambier. The solutions can be obtained explicitly in terms of Painlevé transcendents or elliptic functions.
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تاریخ انتشار 2007