Exact Solutions of the Precursor Film Equation
- Authors: Bazarova V.B.1, Pukhnachev V.V.2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics SB RAS
- Novosibirsk State University
- Issue: Vol 231, No 2 (2018)
- Pages: 124-142
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241100
- DOI: https://doi.org/10.1007/s10958-018-3810-4
- ID: 241100
Cite item
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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