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
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
[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