Title

Traveling wave solutions of the n-dimensional coupled Yukawa equations

Authors

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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