Painlevé structure of a multi-ion electrodiffusion system
arXiv:0711.0615 · doi:10.1088/1751-8113/40/48/F01
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.
9 p, Latex, to appear, J Phys A FTC
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