Painlevé analysis and special solutions of two families of reaction—diffusion equations

A Painlevé analysis is performed for two families of reaction—diffusion equations. Truncated expansions, relevant to equations having movable branch points at leading order, are used to construct special solutions for the two classes of reaction—diffusion equations. An auto-Bäcklund transformation b...

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Bibliographic Details
Published in:Physics letters. A 1991-10, Vol.159 (6), p.311-317
Main Author: Choudhury, S.Roy
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Summary:A Painlevé analysis is performed for two families of reaction—diffusion equations. Truncated expansions, relevant to equations having movable branch points at leading order, are used to construct special solutions for the two classes of reaction—diffusion equations. An auto-Bäcklund transformation between two solutions is constructed for an equation having a pole at leading order, leading to additional analytic solutions.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(91)90439-F