Geodesic
Multiple self-similar string and monopole solutions to nonlinear wave equations in inflationary cosmology
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 4, pp. 471-490 
A. L. Duischko; N. B. Konyukhova. Multiple self-similar string and monopole solutions to nonlinear wave equations in inflationary cosmology. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 4, pp. 471-490. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Basu R., Vilenkin A., “Evolution of topological defects during inflation”, Phys. Rev. D, 50:12 (1994), 7150–7153 | DOI

[2] Linde A. D., Fizika elementarnykh chastits i inflyatsionnaya kosmologiya, Nauka, M., 1991 | MR

[3] Dolgov A. D., Zeldovich Ya. B., Sazhin M. V., Kosmologiya rannei Vselennoi, Izd-vo MGU, M., 1988

[4] Vilenkin A., Shellard E. P. S., Cosmic strings and other topological defects, Cambridge Univ. Press, Cambridge, 1993 | MR

[5] Rudakov B. A., Klassicheskie kalibrovochnye polya, Editorial URSS, M., 1999 | MR

[6] Monastyrskii M. I., Bernkhard Riman. Topologiya. Fizika, “Yanus-K”, M., 1999

[7] Belova T. I., Voronov N. A., “Evolyutsiya puzyrya v teorii s vyrozhdennym vakuumom v prostranstvakh Fridmana i de Sittera”, Pisma v ZhETF, 61:5 (1995), 337–341

[8] Dyshko A. L., Konyukhova N. B., “Avtomodelnye resheniya nelineinogo volnovogo uravneniya dlya polya Khiggsa v prostranstve de Sittera”, Zh. vychisl. matem. i matem. fiz., 39:1 (1999), 124–140 | MR | Zbl

[9] Dyshko A. L., Konyukhova N. B., Voronov N. A., “Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space”, Comput. Phys. Communs., 126:1–2 (2000), 57–62 | DOI | Zbl

[10] Dyshko A. L., Konyukhova N. B., “Singular nonlinear boundary value problems in the inflationary cosmology models with a scalar field”, Proc. Tenth Crimean Autumn Math. School-Symp. (Sevastopol, Laspi, 18–29 September, 1999), Spectral and Evolution Problems, 10, Nat. Taurida V. Vernadsky Univ., Simferopol, 2000, 121–126 | MR

[11] Konyukhova N. B., Dyshko A. L., “Multiple self-similar solutions of the nonlinear wave equation in the inflationary cosmology”, Trends in Nonlinear Analysis – Theory, Modelling and Comput. (October 8–12, Heidelberg, Germany), Ruprecht-Karls-Univ., Heidelberg, 2000, 88–90

[12] Dyshko A. L., Konyukhova N. B., “Mnozhestvennye odnomernye i sfericheski-simmetrichnye avtomodelnye resheniya nelineinogo volnovogo uravneniya polya Khiggsa v prostranstve de Sittera”, Zh. vychisl. matem. i matem. fiz., 41:3 (2001), 494–515 | MR

[13] Vasil'eva A. B., Butusov V. F., Kalachev L. V., The boundary function method for singular perturbation problems, SIAM, Philadelphia, 1995 | MR

[14] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vyssh. shkola, M., 1990 | MR

[15] Voronov N. A., Dyshko A. L., Kobzarev I. Yu., Konyukhova N. B., “Dinamika puzyrei v teorii polya s dvumya vyrozhdennymi vakuumami”, Yadernaya fizika, 60:1 (1997), 140–149 | MR

[16] Voronov N. A., Dyshko A. L., Konyukhova N. B., Staroverova I. B., “O nelineinykh singulyarnykh zadachakh v relyativistskoi kosmologii. II. Pole Khiggsa v prostranstve de Sittera”, Zh. vychisl. matem. i matem. fiz., 37:12 (1997), 1506–1519 | MR | Zbl

[17] Voronov N. A., Dyshko A. L., Konyukhova N. B., Staroverova I. B., “O nekotorykh nelineinykh singulyarnykh zadachakh v modelyakh relyativistskoi kosmologii”, Proc. 9-th Internat. Conf. “Comput. Modelling and Comput. Phys.” D5, 11-97-112. Dubna, 1997 (September 16–21, 1996), 304–310

[18] Belova T. I., Kudryavtsev A. E., “Solitony i ikh vzaimodeistviya v klassicheskoi teorii polya”, Uspekhi fiz. nauk, 167:4 (1997), 377–406

[19] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968

[20] Lyapunov A. M., Obschaya zadacha ob ustoichivosti dvizheniya, Gostekhteorizdat, M.-L., 1950 | Zbl

[21] Konyukhova N. B., “Singulyarnye zadachi Koshi dlya sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 629–645 | MR | Zbl

[22] Kitoroage D. I., Konyukhova N. B., Pariiskii B. S., “Modifitsirovannyi metod fazovykh funktsii v singulyarnykh zadachakh kvantovoi fiziki na svyazannye sostoyaniya chastits”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1987

[23] Konyukhova N. B., Staroverova I. B., “Modifikatsiya fazovogo metoda resheniya singulyarnykh samosopryazhennykh zadach Shturma–Liuvillya”, Zh. vychisl. matem. i matem. fiz., 37:10 (1997), 1183–1200 | MR | Zbl

[24] Konyukhova N. B., Lin V. Kh., Staroverova I. B., “O modifikatsiyakh fazovogo metoda v singulyarnykh zadachakh kvantovoi fiziki”, Zh. vychisl. matem. i matem. fiz., 39:3 (1999), 492–522 | MR | Zbl