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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 11, Pages 1863–1875
DOI: https://doi.org/10.31857/S004446690003538-2 (Mi zvmmf10857) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On exact solutions of the Oskolkov–Benjamin–Bona–Mahony–Burgers equation

A. I. Aristov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
Citations (6)
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DOI: https://doi.org/10.31857/S004446690003538-2
Abstract: For the Oskolkov–Benjamin–Bona–Mahony–Burgers equation with a linear source, families of exact solutions expressed in terms of elementary and special functions are constructed. It is shown that these families contain solutions growing to infinity on finite time intervals, bounded on any finite time interval (but not globally), and bounded globally in time.
Key words: Oskolkov–Benjamin–Bona–Mahony–Burgers equation, Sobolev-type equations, exact solutions, blowup of solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-1829.2018.1
Received: 05.04.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1792–1803
DOI: https://doi.org/10.1134/S0965542518110027
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
Language: Russian
Citation: A. I. Aristov, “On exact solutions of the Oskolkov–Benjamin–Bona–Mahony–Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1863–1875; Comput. Math. Math. Phys., 58:11 (2018), 1792–1803
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
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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