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nlin.SI2026
Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1
The integrability of the Kudryashov-Sinelshchikov equation in (1+3) dimension is detected using its point symmetries and the Singularity analysis method. The symmetries mostly poin…
nlin.SI2021
Singularity analysis and analytic solutions for the Benney-Gjevik equations
Andronikos Paliathanasis, Genly Leon, P. G. L. Leach
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 th…