29 citations · 92 across the 10 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math-ph2021
Symmetry analysis for the generalized quantum Zakharov-Kuznetsov equation
Andronikos Paliathanasis, P. G. L. Leach
We solve the group classification problem for the generalized quantum Zakharov-Kuznetsov equation. Particularly we consider the generalized equation $u_{t}+f\left( u\right) u…
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…