Singularity analysis and analytic solutions for the Benney-Gjevik equations
Exactly Solvable and Integrable Systems
2021-03-15 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We apply the Painlev\'e 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.
Cite
@article{arxiv.2103.06934,
title = {Singularity analysis and analytic solutions for the Benney-Gjevik equations},
author = {Andronikos Paliathanasis and Genly Leon and P. G. L. Leach},
journal= {arXiv preprint arXiv:2103.06934},
year = {2021}
}
Comments
7 pages, accepted for publication in International Journal of Nonlinear Sciences and Numerical Simulation