Journal
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
Volume 24, Issue 3, Pages 1073-1078Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/ijnsns-2021-0051
Keywords
liquid film; Painleve test; singularity analysis
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This study applies the Painleve test to the Benney and Benney-Gjevik equations, which are used to describe waves in falling liquids. The research proves that these two nonlinear 1 + 1 evolution equations pass the singularity test for the traveling-wave solutions. Algebraic solutions based on Laurent expansions are presented.
We apply the Painleve 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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