Painleve Property And Group Symmetries Of The Generalized Korteweg-Devries Equation

    Authors

    D. K. Rollins;B. K. Shivamoggi

    Comments

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    Abbreviated Journal Title

    Phys. Scr.

    Keywords

    PARTIAL-DIFFERENTIAL EQUATIONS; STABILITY; WAVES; Physics, Multidisciplinary

    Abstract

    In this paper we consider some of the analytic properties of the generalized Korteweg-de Vries equation u(t) + u(p)u(x) + u(xxx) = 0. We study the Lie group symmetries of the equation and show that for p > 2 there is a three parameter group and if p = 1 or 2 the group has four parameters. The Painleve property is shown to be not satisfied when p > 2. The variational symmetries are also considered and are shown to lead to the only three known conservation laws for general p.

    Journal Title

    Physica Scripta

    Volume

    49

    Issue/Number

    3

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    261

    Last Page

    263

    WOS Identifier

    WOS:A1994NA64800002

    ISSN

    0281-1847

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