# Exact Solutions of the Precursor Film Equation

## 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.

- Authors:

- Lavrent’ev Institute of Hydrodynamics SB RAS (Russian Federation)
- Novosibirsk State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771215

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; EQUATIONS; EXACT SOLUTIONS; LAGRANGIAN FUNCTION; NONLINEAR PROBLEMS; PRECURSOR

### Citation Formats

```
Bazarova, V. B., E-mail: vicbazarova@gmail.com, and Pukhnachev, V. V., E-mail: pukhnachev@gmail.com.
```*Exact Solutions of the Precursor Film Equation*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3810-4.

```
Bazarova, V. B., E-mail: vicbazarova@gmail.com, & Pukhnachev, V. V., E-mail: pukhnachev@gmail.com.
```*Exact Solutions of the Precursor Film Equation*. United States. doi:10.1007/S10958-018-3810-4.

```
Bazarova, V. B., E-mail: vicbazarova@gmail.com, and Pukhnachev, V. V., E-mail: pukhnachev@gmail.com. Tue .
"Exact Solutions of the Precursor Film Equation". United States. doi:10.1007/S10958-018-3810-4.
```

```
@article{osti_22771215,
```

title = {Exact Solutions of the Precursor Film Equation},

author = {Bazarova, V. B., E-mail: vicbazarova@gmail.com and Pukhnachev, V. V., E-mail: pukhnachev@gmail.com},

abstractNote = {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.},

doi = {10.1007/S10958-018-3810-4},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

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