This article is cited in 1 paper

FIELDS, PARTICLES, AND NUCLEI

On Lorentz-invariant two-dimensional equations having long-lived localized solutions with a nontrivial structure

R. K. Salimov^a, T. R. Salimov^b, E. G. Ekomasov<sup>acd

a</sup> Bashkir State University, Ufa, 450076 Russia
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141700 Russia
^c South Ural State University, Chelyabinsk, 454080 Russia
^d University of Tyumen, Tyumen, 625003 Russia

Abstract: Lorentz-invariant two-dimensional equations that have long-lived ($t\sim 1000$) localized solutions without energy losses to radiation in the case of two scalar fields are presented. The existence of long-lived localized solutions with a nontrivial internal structure in the case of three scalar fields is shown. This structure includes two spatially separated coupled maxima of squares of the amplitudes of these fields. Such solutions can be interesting as soliton models of the structure of hadrons.

Received: 14.08.2020
Revised: 24.08.2020
Accepted: 29.08.2020

DOI: 10.31857/S1234567820180032

 English version: Journal of Experimental and Theoretical Physics Letters, 2020, 112:6, 337–340

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