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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1198–1204
DOI: https://doi.org/10.7868/S0044466917070110 (Mi zvmmf10581) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Long nonlinear waves in anisotropic cylinders

A. G. Kulikovskii, A. P. Chugainova

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991 Russia
Full-text PDF (291 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466917070110
Abstract: 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.
Key words: nonlinear waves, integral curves of Riemann waves, overturning conditions.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation, project no. 14-50-00005.
Received: 06.09.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1194–1200
DOI: https://doi.org/10.1134/S0965542517070107
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, “Long nonlinear waves in anisotropic cylinders”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1198–1204; Comput. Math. Math. Phys., 57:7 (2017), 1194–1200
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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