Geodesic
Long nonlinear waves in anisotropic cylinders
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1198-1204 Cet article a éte moissonné depuis la source Math-Net.Ru

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Small-amplitude plane nonlinear waves in anisotropic cylinders are considered in the case of longitudinal and torsional waves having close velocities. Anisotropy corresponding to this condition can take place in specifically plaited ropes and in the case of anisotropy of other nature. The characteristic velocities are found, and simple waves are studied. 
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A. G. Kulikovskii; A. P. Chugainova. Long nonlinear waves in anisotropic cylinders. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1198-1204. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a10/

[1] Rakhmatulin Kh. A., Adylov K. A., “Normalnyi poperechnyi udar po spiralnym provolochnym kanatam”, Vestn. MGU, 1976, no. 6, 105–108

[2] Glushko M. F., “Issledovanie deformatsii napryazhenii v spiralnykh kanatakh s uchetom deistvitelnykh uslovii kontakta provolok”, Izv. VUZov. Gornyi zhurnal, 1961, no. 11, 103–118

[3] Savin G. N., “Uravneniya dvizheniya estestvenno zakruchennoi niti peremennoi dliny”, Dokl. AN USSR, 1960, no. 6, 726–730

[4] Ustinov Yu. A., Zadachi Sen-Venana dlya psevdotsilindrov, Fizmatlit, M., 2003

[5] Druz A. N., Ustinov Yu. A., “Tenzor Grina dlya uprugogo tsilindra i prilozheniya ego k razvitiyu teorii Sen-Venana”, Prikl. matem. i mekhan., 60:1 (1996), 102–110 | Zbl

[6] Druz A. N., Polyakov N. A., Ustinov Yu. A., “Odnorodnye resheniya v zadache Sen-Venana dlya estestvenno zakruchennykh sterzhnei”, Prikl. matem. i mekhan., 60:4 (1996), 660–668 | Zbl

[7] Erofeev V. I., Klyueva N. V., “Rasprostranenie nelineinykh krutilnykh voln v sterzhne iz raznomodulnogo materiala”, Izvestiya RAN. Mekhan. tverdogo tela, 2003, no. 5, 147–153

[8] Erofeev V. I., “Nelineinye izgibnye i krutilnye volny v sterzhnyakh i sterzhnevykh sistemakh”, Vestn. nauchno-tekhn. razvitiya, 2009, no. 4(20), 46–50

[9] Malashin A. A., “Prodolno-poperechno-krutilnye volny i kolebaniya v muzykalnykh strunakh”, Dokl. AN, 424 (2009), 197–199 | Zbl

[10] Kulikovskii A. G., Sveshnikova E. I., Nelineinye volny v uprugikh sredakh, Mosk. Litsei, M., 1998

[11] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2012, 551 pp.

[12] Kulikovskii A. G., Chugainova A. P., “Klassicheskie i neklassicheskie razryvy v resheniyakh uravnenii nelineinoi teorii uprugosti”, Uspekhi matem. nauk, 63:2(380) (2008), 85–152 | DOI | Zbl

[13] Chugainova A. P., “Asimptoticheskoe povedenie nelineinykh voln v uprugikh sredakh s dispersiei i dissipatsiei”, Teor. i matem. fiz., 147:2 (2006), 240–256 | DOI | Zbl

[14] Chugainova A. P., “Avtomodelnye asimptotiki volnovykh zadach i struktury neklassicheskikh razryvov v nelineino-uprugikh sredakh s dispersiei i dissipatsiei”, Prikl. matem. i mekhan., 71:5 (2007), 775–787 | Zbl

[15] Kulikovskii A. G., Chugainova A. P., “O statsionarnoi strukture udarnykh voln v uprugikh sredakh i dielektrikakh”, Zh. eksperim. i teor. fiz., 137:5 (2010), 973–985

[16] Chugainova A. P., Shargatov V. A., “Ustoichivost struktury razryvov, opisyvaemykh obobschennym uravneniem Kortevega-de Vriza-Byurgersa”, Zh. vychisl. matem. i matem. fiz., 56:2 (2016), 259–274 | DOI | Zbl

[17] Chugainova A. P., “Osobye razryvy v nelineino-uprugikh sredakh”, Zh. vychisl. matem. i matem. fiz., 57:6 (2017), 1023–1032 | Zbl

[18] Kulikovskii A. G., Chugainova A. P., “Modelirovanie vliyaniya melkomasshtabnykh dispersionnykh protsessov v sploshnoi srede na formirovanie krupnomasshtabnykh yavlenii”, Zh. vychisl. matem. i matem. fiz., 44:6 (2004), 1119–1126 | Zbl

[19] Kulikovskii A. G., Chugainova A. P., Shargatov V. A., “Edinstvennost avtomodelnykh reshenii zadachi o raspade proizvolnogo razryva uravneniya Khopfa so slozhnoi nelineinostyu”, Zh. vychisl. matem. i matem. fiz., 56:7 (2016), 1363–1370 | DOI | Zbl

[20] Sedov L. I., Mekhanika sploshnoi sredy, v. 1, Nauka. Fizmatlit, M., 1983

[21] Berdichevskii V. L., Variatsionnye printsipy mekhaniki sploshnoi sredy, Nauka. Fizmatlit, M., 1983

[22] Sveshnikova E. I., “Volny Rimana v uprugoi srede s maloi kubicheskoi anizotropiei”, Prikl. matem. i mekhan., 69:1 (2005), 75–83 | Zbl