V. B. Bazarova, V. V. Pukhnachev, “Exact solutions of precursor film equation”, Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 1,Pages <nobr>17

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Exact solutions of precursor film equation

V. B. Bazarova^a, V. V. Pukhnachev^ab

^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.

UDC: 517.946 + 532.62

Received: 28.12.2015

DOI: 10.17377/PAM.2017.17.102