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Adomou, A. and Shikin G.N. (1999) Exact Self-Consistent Plane-Symmetric Solutions of the Equation for a Spinor Field with a Nonlinear Term that Depends on the Invariant S2 + P2. Russian Physics Journal, 42, 189-196.
https://doi.org/10.1007/BF02509970

has been cited by the following article:

• TITLE: Exact Static Plane Symmetric Soliton-Like Solutions to the Nonlinear Interacting Electromagnetic and Scalar Field Equations in General Relativity

  AUTHORS: Arnaud Edouard Yamadjako, Alain Adomou, Yélomè J. F. Kpomahou, Jonas Edou, Siaka Massou

  KEYWORDS: Scalar, Electromagnetic, Gravitational Fields Interaction’s, Description of Elementary Particles

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.8 No.1, January 6, 2022

  ABSTRACT: This research work is related to soliton solutions considered as models that can describe the complex configuration of elementary particles from the study of the interactions of their fields. It is interested in the interaction of fields between two different elementary particles by expressing their physical properties. For that, we have obtained, exact static plane symmetric soliton-like solutions to the nonlinear equations of interacting electromagnetic and scalar fields taking into account the own gravitational field of elementary particles using the calibrated invariance function P(I). It has been proved that all solutions of the Einstein, nonlinear electromagnetic and scalar field equations are regular with the localized energy density. Moreover, the total charge of particles is finite and the total energy of the interaction fields is bounded. It have been emphasized the importance to the own gravitational field of elementary particles and the role of the nonlinearity of fields in the determination of these solutions. In flat space-time, soliton-like solutions exist but the total energy of the interaction fields is equal to zero. We have also shown that in the linear case, soliton-like solutions are absent.