Title

Painlevé Analysis And Special Solutions Of Two Families Of Reaction-Diffusion Equations

Abstract

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. © 1991.

Publication Date

10-21-1991

Publication Title

Physics Letters A

Volume

159

Issue

6-7

Number of Pages

311-317

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0375-9601(91)90439-F

Socpus ID

0006771054 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0006771054

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