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Singularity analysis and analytic solutions for the Benney–Gjevik equations by Andronikos Paliathanasis; Genly Leon; P. G. L. Leach is a Mathematics article available to read on EtoBox.
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## Abstract We apply the Painlevé test for the Benney and the Benney–Gjevik equations, which describe waves in falling liquids. We prove that these two nonlinear 1 + 1 evolution equations pass the singularity test for the travelling-wave solutions. The algebraic solutions in terms of Laurent expansions are presented.
Who reads Singularity analysis and analytic solutions for the Benney–Gjevik equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Andronikos Paliathanasis; Genly Leon; P. G. L. Leach
- Publisher
- Walter de Gruyter GmbH
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)
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