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arXiv · 2103.06934

Singularity analysis and analytic solutions for the Benney-Gjevik equations

Andronikos Paliathanasis·Genly Leon·P. G. L. Leach
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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.

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Andronikos Paliathanasis, Genly Leon, P. G. L. Leach. 2021-03-11. Singularity analysis and analytic solutions for the Benney-Gjevik equations. https://doi.org/10.1515/ijnsns-2021-0051

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