Solutions to a Novel Casimir Equation for the Ito System

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Commun. Theor. Phys.

    Keywords

    nonlinear wave equation; Ito system; travelling waves; self-similar; solutions; Physics, Multidisciplinary

    Abstract

    We discuss two classes of solutions to a novel Casimir equation associated with the Ito system, a coupled nonlinear wave equation. Both travelling wave solutions and separable self-similar solutions are discussed. In a number of cases, explicit exact solutions are found. Such results, particularly the exact solutions, are useful in that they provide us a baseline of comparison to any numerical simulations. Besides, such solutions provide us a glimpse of the behavior of the Ito system, and hence the behavior of a type of nonlinear wave equation, for certain parameter regimes.

    Journal Title

    Communications in Theoretical Physics

    Volume

    56

    Issue/Number

    5

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    801

    Last Page

    804

    WOS Identifier

    WOS:000297269000002

    ISSN

    0253-6102

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