Painleve Analysis And Special Solutions Of 2 Families Of Reaction Diffusion-Equations

    Authors

    S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    ORDINARY DIFFERENTIAL-EQUATIONS; LINEAR EVOLUTION-EQUATIONS; SOLITARY; WAVE SOLUTIONS; P-TYPE; PROPERTY; CONNECTION; SYSTEMS; Physics, Multidisciplinary

    Abstract

    A Painleve 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-Backlund transformation between two solutions is constructed for an equation having a pole at leading order, leading to additional analytic solutions.

    Journal Title

    Physics Letters A

    Volume

    159

    Issue/Number

    6-7

    Publication Date

    1-1-1991

    Document Type

    Article

    Language

    English

    First Page

    311

    Last Page

    317

    WOS Identifier

    WOS:A1991GN10100002

    ISSN

    0375-9601

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