Exact Stationary Solution Method for the Wadati-Konno-Ichikawa-Shimizu (WKIS) Equation

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Prog. Theor. Phys.

    Keywords

    LINEAR INHOMOGENEITIES; GENERALIZED HIROTA; Physics, Multidisciplinary

    Abstract

    We consider a method of obtaining exact implicit relations governing stationary solutions to the Wadati-Konno-Ichikawa-Shimizu (WKIS) equation. After a suitable transform, we put the WKIS equation into the form of a nonlinear ordinary differential equation. This equation has exact first and second integrals of motion. From this second integral, the exact equation governing the stationary solution to the WKIS equation is obtained. This relation may easily be inverted and plotted, to give the exact solution profiles. Furthermore, an exact formula for the period of oscillation in terms of the model parameters is obtained.

    Journal Title

    Progress of Theoretical Physics

    Volume

    128

    Issue/Number

    5

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    993

    Last Page

    999

    WOS Identifier

    WOS:000312121400011

    ISSN

    0033-068X

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