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On a Painlevé II model in steady electrolysis: application of a Bäcklund transformation
journal contribution
posted on 2023-05-18, 19:07 authored by Rogers, C, Andrew BassomAndrew Bassom, Schief, WKA 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.
History
Publication title
Journal of Mathematical Analysis and ApplicationsVolume
240Pagination
367-381ISSN
0022-247XDepartment/School
School of Natural SciencesPublisher
Academic Press Inc Elsevier SciencePlace of publication
525 B St, Ste 1900, San Diego, USA, Ca, 92101-4495Rights statement
Copyright 1999 Academic PressRepository Status
- Restricted