Traveling wave solutions of the n-dimensional coupled Yukawa equations

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Appl. Math. Lett.

    Keywords

    Yukawa equations; Klein-Gordon-Schrodinger system; Meson-nucleon; interactions; Nonlinear dynamics; Traveling wave solutions; COMPETITIVE MODES; SYSTEM; LORENZ; Mathematics, Applied

    Abstract

    We discuss traveling wave solutions to the Yukawa equations, a system of nonlinear partial differential equations which has applications to meson-nucleon interactions. The Yukawa equations are converted to a six-dimensional dynamical system, which is then studied for various values of the wave speed and mass parameter. The stability of the solutions is discussed, and the methods of competitive modes is used to describe parameter regimes for which chaotic behaviors may appear. Numerical solutions are employed to better demonstrate the dependence of traveling wave solutions on the physical parameters in the Yukawa model. We find a variety of interesting behaviors in the system, a few of which we demonstrate graphically, which depend upon the relative strength of the mass parameter to the wave speed as well as the initial data. (C) 2011 Elsevier Ltd. All rights reserved.

    Journal Title

    Applied Mathematics Letters

    Volume

    25

    Issue/Number

    8

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    1106

    Last Page

    1110

    WOS Identifier

    WOS:000304681700002

    ISSN

    0893-9659

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