27 citations · 72 across the 18 of their papers we have counts for
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Symmetry Analysis for a Fourth-order Noise-reduction Partial Differential Equation
Andronikos Paliathanasis, P. G. L. Leach
We apply the theory of Lie symmetries in order to study a fourth-order evolutionary partial differential equation which has been proposed for the image processing noise reduc…
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 Algebra and Conservation Laws for the Time-fractional Heat Equation
Amlan K Halder, CT Duba, PGL Leach
The Lie symmetry method is applied to derive the point symmetries for the N-dimensional fractional heat equation. We find that that the numbers of symmetries and Lie brackets are r…