540 citations · 6.4k across the 303 of their papers we have counts for
5 papers · 2 filters
Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions
Andronikos Paliathanasis
The group properties of the shallow-water equations with the complete Coriolis force is the subject of this study. In particular we apply the Lie theory to classify the system of t…
Integrable and Superintegrable Potentials of 2d Autonomous Conservative Dynamical Systems
Antonios Mitsopoulos, Michael Tsamparlis, Andronikos Paliathanasis
We consider the generic quadratic first integral (QFI) of the form and require the condition . The latte…
Similarity solutions and conservation laws for the Beam Equations: a complete study
Amlan K Halder, Andronikos Paliathanasis, PGL Leach
We study the similarity solutions and we determine the conservation laws of the various forms of beam equation, such as, Euler-Bernoulli, Rayleigh and Timoshenko-Prescott. The trav…
Similarity solutions and Conservation laws for the Bogoyavlensky-Konopelchenko Equation by Lie point symmetries
Amlan K. Halder, Andronikos Paliathanasis, P. G. L. Leach
The 1 + 2 dimensional Bogoyavlensky-Konopelchenko Equation is investigated for its solution and conservation laws using the Lie point symmetry analysis. In the recent past, certain…
Lie symmetry analysis and one-dimensional optimal system for the generalized 2+1 Kadomtsev-Petviashvili equation
Andronikos Paliathanasis
We classify the Lie point symmetries for the 2+1 nonlinear generalized Kadomtsev-Petviashvili equation by determine all the possible f(u) functional forms where the latter depends.…