Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_1998_7_a5, author = {A. Yu. Senitskiy}, title = {On the integrability of the wave equation with variable coefficients}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {39--46}, publisher = {mathdoc}, number = {7}, year = {1998}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_1998_7_a5/} }
A. Yu. Senitskiy. On the integrability of the wave equation with variable coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (1998), pp. 39-46. http://geodesic.mathdoc.fr/item/IVM_1998_7_a5/
[1] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, 3-e izd., Nauka, M., 1965, 703 pp. | MR
[2] Zaitsev V. F., Polyanin A. D., Spravochnik po nelineinym differentsialnym uravneniyam, Nauka, M., 1993, 462 pp. | MR | Zbl
[3] Petrashen G. I., Rasprostranenie voln v anizotropnykh uprugikh sredakh, Nauka. Leningr. otd-nie, L., 1980, 280 pp.
[4] Selezov I. T., Modelirovanie volnovykh i difraktsionnykh protsessov v sploshnykh sredakh, Nauk. dumka, Kiev, 1989, 204 pp.
[5] Vestyak A. V., Gorshkov A. G., Tarlakovskii D. V., “Nestatsionarnoe vzaimodeistvie deformiruemykh tel s okruzhayuschei sredoi”, Itogi nauki i tekhn. MDTT VINITI, 15, 1983, 69–148 | MR | Zbl
[6] Chowdhury B., Chakraborty S., “Dynamic expansion of a spherical cavity in a non-homogeneous medium”, Indian J. Pure and Appl. Math., 11:9 (1980), 1242–1248 | Zbl
[7] Green W., “Wave propagation in strongly anisotropic elastic materials”, Arch. Mech. Stosow, 30:3 (1978), 297–307 | MR | Zbl
[8] Wond K., Buchanan G., “Cylindrical anisotropic waves in a non-homogeneous material”, Trans. ASME J. Appl. Mec., 45:3 (1978), 687–689
[9] Zaitsev V. F., “Diskretno-gruppovoi analiz obyknovennykh differentsialnykh uravnenii”, Differents. uravneniya, 25:3 (1989), 379–387 | MR
[10] Berkovich L. M., Faktorizatsiya i preobrazovaniya obyknovennykh differentsialnykh uravnenii, ed. N. Kh. Rozov, Izd-vo Saratovsk. un-ta, Saratov, 1989, 192 pp. | MR | Zbl
[11] Senitskii Yu. E., Senitskii A. Yu., “O reshenii odnogo differentsialnogo uravneniya s peremennymi koeffitsientami, imeyuschego prilozhenie v dinamicheskoi teorii uprugosti”, Matem. fizika i nelineinaya mekhanika, 1990, no. 13, 22–25 | MR
[12] Lyav A., Matematicheskaya teoriya uprugosti, ONTI, M., 1935, 674 pp.
[13] Beitmen G., Erdeii A., Tablitsy integralnykh preobrazovanii, T. 1, Nauka, M., 1969, 343 pp.
[14] Sorokin E. S., K teorii vnutrennego treniya pri kolebaniyakh uprugikh sistem, Gosstroiizdat, M., 1960, 132 pp.
[15] Eason G., “Propagation of wave from spherical and cylindrical cavities”, Z. angew. Math. and Phys., 14:1 (1963), 12–23 | DOI | MR | Zbl