Title

Traveling Wave Solutions Of The N-Dimensional Coupled Yukawa Equations

Keywords

Klein-Gordon-Schrödinger system; Meson-nucleon interactions; Nonlinear dynamics; Traveling wave solutions; Yukawa equations

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. © 2012 Elsevier Ltd. All rights reserved.

Publication Date

8-1-2012

Publication Title

Applied Mathematics Letters

Volume

25

Issue

8

Number of Pages

1106-1110

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.aml.2011.11.035

Socpus ID

84860357729 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84860357729

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