A particle model based on stringlike solitons

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Abstract
This paper deals with two scalar fields ϑ (x,y,z,t) and φ (x,y,z,t) which are governed by two coupled nonlinear differential equations. Some of the spatial field distributions of ϑ and φ are topologically stable and represent solitons in three‐dimensional space. The simplest stable solitons are identified with the electron and the positron. The asymptotic solutions of the fields are studied. ϑ is shown to fall off asymptotically as ±a/r, where a is a constant related to the elementary charge and r the distance from the ’’site’’ of the soliton.

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