Geodesic
Localized solutions of a certain non-linear second-order differential equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 319-320 Cet article a éte moissonné depuis la source Math-Net.Ru

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A numerical investigation is carried out of bounded solutions of the equation if $(R'+R/r)'=R-R\{R^2+\alpha(R'+R/r)^2\}$ which decrease at infinity. It is shown that if $\alpha>0.145$ there are no solutions. 
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B. V. Gisin. Localized solutions of a certain non-linear second-order differential equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 319-320. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a13/

[1] Finkelstein R., Le-Leve R., Ruderman M., “Nelineinye spinornye polya”, Nelineinaya kvantovaya teoriya polya, Izd-vo inostr. lit., M., 1959, 257–275

[2] Chiao R. Y., Garmire E., Townes C. H., “Self-trapping of optical beam”, Phys. Rev. Letts., 13:15 (1964) | DOI

[3] Gisin B. V., “Lokalizatsiya voln v nelineinoi srede perpendikulyarno napravleniyu rasprostraneniya”, Radiotekhnika, 1988, no. 10, 76–78