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Exact Solutions of the Precursor Film Equation


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Abstract

We find and analyze exact solutions to equations with logarithmic nonlinearity. To construct the soltuions, we use the classical group analysis methods, as well as the method of invariant manifolds and the Lagrangian coordinate method. Bibliography: 23 titles. Illustrations: 5 figures.

About the authors

V. B. Bazarova

Lavrent’ev Institute of Hydrodynamics SB RAS

Email: pukhnachev@gmail.com
Russian Federation, 15, Akad. Lavrent’eva pr, Novosibirsk, 630090

V. V. Pukhnachev

Novosibirsk State University

Author for correspondence.
Email: pukhnachev@gmail.com
Russian Federation, 1, Pirogova St, Novosibirsk, 630090

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