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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 1, Pages 17–35
DOI: https://doi.org/10.17377/PAM.2017.17.102 (Mi vngu427) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exact solutions of precursor film equation

V. B. Bazarovaa, V. V. Pukhnachevab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/PAM.2017.17.102
Abstract: The paper is concerned with the study and analysis of exact solutions of equations with logarithmic nonlinearity which occurs in variety of physical applications and also in differential geometry. To construct the solutions, the invariant manifolds approach and the Lagrangean coordinates approach are used along with classical approaches of group analysis.
Keywords: precursor film, group analysis, invariant manifolds, Lagrangean coordinates.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00526_а
Received: 28.12.2015
English version:
Journal of Mathematical Sciences, 2018, Volume 231, Issue 2, Pages 124–142
DOI: https://doi.org/10.1007/s10958-018-3810-4
Document Type: Article
UDC: 517.946 + 532.62
Language: Russian
Citation: V. B. Bazarova, V. V. Pukhnachev, “Exact solutions of precursor film equation”, Sib. J. Pure and Appl. Math., 17:1 (2017), 17–35; J. Math. Sci., 231:2 (2018), 124–142
Citation in format AMSBIB
\Bibitem{BazPuk17}
\by V.~B.~Bazarova, V.~V.~Pukhnachev
\paper Exact solutions of precursor film equation
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 1
\pages 17--35
\mathnet{http://mi.mathnet.ru/vngu427}
\crossref{https://doi.org/10.17377/PAM.2017.17.102}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 231
\issue 2
\pages 124--142
\crossref{https://doi.org/10.1007/s10958-018-3810-4}
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    • This publication is cited in the following 1 articles:
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