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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1363–1370
DOI: https://doi.org/10.7868/S0044466916070115 (Mi zvmmf10427) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity

A. G. Kulikovskiia, A. P. Chugainovaa, V. A. Shargatovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
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DOI: https://doi.org/10.7868/S0044466916070115
Abstract: Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves and shock waves with stable stationary and nonstationary structures.
Key words: Hopf equation, Riemann problem, KdV–Burgers equation, shock waves, Riemann waves.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00049_а
Received: 10.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1355–1362
DOI: https://doi.org/10.1134/S0965542516070113
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Kulikovskii, A. P. Chugainova, V. A. Shargatov, “Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1363–1370; Comput. Math. Math. Phys., 56:7 (2016), 1355–1362
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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