Backlund-Transformations, Truncated Painleve Expansions, And Special Solutions Of Nonintegrable Long-Wave Evolution-Equations

    Authors

    S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Can. J. Phys.

    Keywords

    ORDINARY DIFFERENTIAL-EQUATIONS; INVERSE SCATTERING; INTEGRABLE SYSTEMS; P-TYPE; PROPERTY; CONNECTION; SOLITONS; Physics, Multidisciplinary

    Abstract

    Painleve expansions, truncated at various stages, are constructed for the conditionally-Painleve Benjamin-Bona-Mahoney (BBM), the modified Benjamin-Bona-Mahoney (MBBM), and the symmetric regularized long wave (SRLW) equations. Expansions truncated at the constant term lead to auto-Backlund transformations between two solutions of all three equations. Special solutions of the various equations, including a solitary-wave solution for the MBBM equation, and new one-parameter families of traveling-wave solutions for the BBM and SRLW equations are obtained using the truncated Painleve expansions.

    Journal Title

    Canadian Journal of Physics

    Volume

    70

    Issue/Number

    8

    Publication Date

    1-1-1992

    Document Type

    Article

    Language

    English

    First Page

    595

    Last Page

    602

    WOS Identifier

    WOS:A1992KA10600001

    ISSN

    0008-4204

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