AustralieFrV1, Main, Exploration, bibRecord, 009115

Painlev structure of a multi-ion electrodiffusion system

Identifieur interne : 009115 ( Main/Exploration ); précédent : 009114; suivant : 009116

Painlev structure of a multi-ion electrodiffusion system

Auteurs : R. Conte [France] ; C. Rogers [Hong Kong, Australie] ; W K Schief [Allemagne, Australie]

Source :

Journal of Physics A: Mathematical and Theoretical [ 1751-8113 ] ; 2007.

RBID : ISTEX:E6E678018ED2840E369D7E4893FAFB150C2EA9A6

English descriptors

KwdEn :
- Acta math, Additional condition, Arbitrary constants, Australian research council centre, Classical computation, Complete system, Complex systems, Electrodiffusion model, Elliptic functions, Equations diff, Fuchs index, Fuchs indices, Gambier, General solution, Laurent series, Movable logarithms, Necessary condition, Necessary conditions, Nonlinear system, Orie analytique, Painlev, Second case, Third case, Third step, Track communication, Track communication painlev.
Teeft :
- Acta math, Additional condition, Arbitrary constants, Australian research council centre, Classical computation, Complete system, Complex systems, Electrodiffusion model, Elliptic functions, Equations diff, Fuchs index, Fuchs indices, Gambier, General solution, Laurent series, Movable logarithms, Necessary condition, Necessary conditions, Nonlinear system, Orie analytique, Painlev, Second case, Third case, Third step, Track communication, Track communication painlev.

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 via a method initiated by Painlev with the application of a test due to Kowalevski and Gambier. The solutions can be obtained explicitly in terms of Painlev transcendents or elliptic functions.

Url:

https://api.istex.fr/document/E6E678018ED2840E369D7E4893FAFB150C2EA9A6/fulltext/pdf

DOI: 10.1088/1751-8113/40/48/F01

Affiliations:

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Le document en format XML

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Painlev structure of a multi-ion electrodiffusion system

Painlev structure of a multi-ion electrodiffusion system

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

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