Singularity analysis and analytic solutions for the Benney–Gjevik equations-Reference-Cited by-同舟云学术

Singularity analysis and analytic solutions for the Benney–Gjevik equations

Published:2021-03-08 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Paliathanasis Andronikos¹^ORCID,Leon Genly²,Leach P. G. L.¹³

Affiliation:

1. Institute of Systems Science, Durban University of Technology , PO Box 1334 , Durban 4000 , Republic of South Africa

2. Departamento de Matemáticas , Universidad Católica del Norte , Avda. Angamos 0610 , Casilla 1280 Antofagasta , Chile ,

3. School of Mathematical Sciences , University of KwaZulu-Natal , Durban , Republic of South Africa ,

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0051/pdf

Reference31 articles.

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