Geodesic
Nonlinear vector field having an exact particle-like solution with finite energy and phase wave
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 274-278

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A model relativistically invariant Lagrangian corresponding to a nonlinear wave equation (with three arbitrary constants $m_1$, $m_2$, and $m_3$) for a complex four-vector field and exact particle-like solutions to this equation are given. The energy, momentum, “charge”, and spin of the corresponding “particles” are calculated as functions of $m_1$, $m_2$, $m_3$. The values of $m_1$, $m_2$, $m_3$ at which the particle parameters agree with the corresponding parameters of the $\rho$ mesons are given. For these values of $m_1$, $m_2$, and $m_3$, the nonlinearity of the field is effectively manifested only within the limits of a particle. 
@article{TMF_1973_16_2_a12,
     author = {I. M. Kustanovich and V. A. Morozov},
     title = {Nonlinear vector field having an exact particle-like solution with finite energy and phase wave},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {274--278},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a12/}
}
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I. M. Kustanovich; V. A. Morozov. Nonlinear vector field having an exact particle-like solution with finite energy and phase wave. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 274-278. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a12/