Portal del Investigador
Singularity analysis and analytic solutions for the Benney-Gjevik equations
Keywords: liquid film; Painlevé test; singularity analysis
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. © 2021 Walter de Gruyter GmbH, Berlin/Boston.
Más información
| Título según WOS: | Singularity analysis and analytic solutions for the Benney-Gjevik equations |
| Título según SCOPUS: | Singularity analysis and analytic solutions for the Benney-Gjevik equations |
| Título de la Revista: | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volumen: | 24 |
| Número: | 3 |
| Editorial: | DE GRUYTER OPEN LTD |
| Fecha de publicación: | 2023 |
| Página de inicio: | 1073 |
| Página final: | 1078 |
| Idioma: | English |
| DOI: |
10.1515/ijnsns-2021-0051 |
| Notas: | ISI, SCOPUS |