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arXiv · 0711.0615

Painlev\'e structure of a multi-ion electrodiffusion system

Robert Conte·Colin Rogers·Wolfgang Schief
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Abstract

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 \textit{via} a method initiated by Painleve' with the application of a test due to Kowalevski and Gambier. The solutions can be obtained explicitly in terms of Painleve' transcendents or elliptic functions.

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Robert Conte, Colin Rogers, Wolfgang Schief. 2007-11-05. Painlev\'e structure of a multi-ion electrodiffusion system. https://doi.org/10.1088/1751-8113/40/48/f01

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