540 citations · 6.4k across the 303 of their papers we have counts for
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math-ph2019★ 3 cited
Benney-Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis
Andronikos Paliathanasis
We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equa…
math-ph2019★ 14 cited
Lie symmetries and similarity solutions for rotating shallow water
Andronikos Paliathanasis
We study a nonlinear system of partial differential equations which describe rotating shallow water with an arbitrary constant polytropic index for the fluid. In our analysis w…
math-ph2019★ 4 cited
Similarity Solutions For The Complex Burgers' Hierarchy
Amlan K Halder, A. Paliathanasis, S. Rangasamy +1
A detailed analysis of the invariant point transformations for the first four partial differential equations which belong to the Complex Burgers` Hierarchy is performed. Moreover,…