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Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 1, Pages 17–35 (Mi vngu427)  

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

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


DOI: https://doi.org/10.17377/PAM.2017.17.102

Full text: PDF file (13939 kB)
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English version:
Journal of Mathematical Sciences, 2018, 231:2, 124–142

UDC: 517.946 + 532.62
Received: 28.12.2015

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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