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arXiv · 1907.06918

Benney-Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis

Andronikos Paliathanasis
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Abstract

We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equations under our consideration admit integrable travelling-wave solutions. The singularity analysis is applied for the partial differential equations and the generic algebraic solution is presented.

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Andronikos Paliathanasis. 2019-07-16. Benney-Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis. https://doi.org/10.1088/1402-4896%2Fab32ad

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