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Painlev\'e structure of a multi-ion electrodiffusion system
- Source :
- J.~Phys.~A 40 F1031--F1040 (2007)
- Publication Year :
- 2007
-
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.<br />Comment: 9 p, Latex, to appear, J Phys A FTC
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Journal :
- J.~Phys.~A 40 F1031--F1040 (2007)
- Publication Type :
- Report
- Accession number :
- edsarx.0711.0615
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/40/48/F01