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On a Painlevé II model in steady electrolysis: application of a Bäcklund transformation


Rogers, C and Bassom, AP and Schief, WK, On a Painleve II model in steady electrolysis: application of a Backlund transformation, Journal of Mathematical Analysis and Applications, 240, (2) pp. 367-381. ISSN 0022-247X (1999) [Refereed Article]

Copyright Statement

Copyright 1999 Academic Press

DOI: doi:10.1006/jmaa.1999.6589


A model equation of Painlevé II type was introduced by Bass in 1964 in connection with a boundary value problem which describes the electric field distribution in a region x > 0 occupied by an electrolyte. This is possibly the earliest explicit physical application of a Painlevé equation to be found in the literature. Here we return to this problem informed by the subsequent discovery of a Bäcklund transformation for Painlevé II. This enables us to construct exact representations for the electric field and ion distributions for boundary value problems wherein the ratio of fluxes of the positive and negative ions at the boundary adopts one of an infinite sequence of values.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108546
Year Published:1999
Web of Science® Times Cited:23
Deposited By:Mathematics and Physics
Deposited On:2016-04-22
Last Modified:2016-07-08

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