Stationary Dissipative Solitons of Model G

M. Pulver and P. A. LaViolette, International Journal of General Systems 42 (2013): 519-541.

Abstract

Model G, the earliest reaction-diffusion system proposed to support the existence of solitons, is shown to do so under distant steady-state boundary conditions. Subatomic particle physics phenomenology, including multi-particle bonding, movement in concentration gradients, and a particle structure matching Kelly's charge distribution model of the nucleon, are observed. Lastly, it is shown how a three-variable reversible Brusselator, a close relative of Model G, can also support solitons.

Author Posting. (c) Taylor & Francis, 2008.

This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in International Journal of General Systems, 2013.

This paper confirms several key predictions of Model G of subquantum kinetics, that Model G can create an autonomous dissipative soliton, that this soliton is characterized by a bell shaped core surrounded by a periodic field pattern having a fixed wavelength, that this periodicity extends away from the particle core a considerable distance, and that this soliton moves when formed in a G concentration gradient.

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copyright 2013, M. Pulver and P. LaViolette