Painlev\'e structure of a multi-ion electrodiffusion system
Exactly Solvable and Integrable Systems
2017-10-16 v1
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.
Cite
@article{arxiv.0711.0615,
title = {Painlev\'e structure of a multi-ion electrodiffusion system},
author = {Robert Conte and Colin Rogers and Wolfgang Schief},
journal= {arXiv preprint arXiv:0711.0615},
year = {2017}
}
Comments
9 p, Latex, to appear, J Phys A FTC