Mots-clés : exact solutions.
@article{SJIM_2013_16_1_a12,
author = {Yu. V. Shan'ko},
title = {Geveralized functionally-invariant nonhomogeneous wave equation},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {126--137},
year = {2013},
volume = {16},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a12/}
}
Yu. V. Shan'ko. Geveralized functionally-invariant nonhomogeneous wave equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 126-137. http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a12/
[1] Brekhovskikh L. M., Godin O. A., Akustika sloistykh sred, Nauka, M., 1989
[2] Hearn A. C., REDUCE User's Manual, Version 3.8, URL: , 2004 http://reduce-algebra.sourceforge.net/manual/manual-pdf.html
[3] Erugin N. P., Smirnov M. M., “Funktsionalno-invariantnye resheniya differentsialnykh uravnenii”, Differents. uravneniya, 17:5 (1981), 853–865 | MR | Zbl
[4] Anikonov Yu. E., Neschadim M. V., “Ob analiticheskikh metodakh v teorii obratnykh zadach dlya giperbolicheskikh uravnenii. I”, Sib. zhurn. industr. matematiki, 14:1 (2011), 27–39 | Zbl
[5] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR
[6] Makov Yu. N., “Otnositelno neiskazhayuschiesya volny i profili v nelineinoi akustike. Tochnye resheniya uravnenii”, Akusticheskii zhurn., 55:2 (2009), 160–170
[7] Taimanov I. A., Tsarev S. P., “Dvumernye operatory Shredingera s bystro ubyvayuschim ratsionalnym potentsialom i mnogomernym $L_2$-yadrom”, Uspekhi mat. nauk, 62:3(375) (2007), 217–218 | DOI | MR | Zbl
[8] Kaptsov O. V., Metody integrirovaniya uravnenii s chastnymi proizvodnymi, Fizmatlit, M., 2009