27 citations · 72 across the 18 of their papers we have counts for
18 papers
Symmetries and Lie Algebra of Ramanujan Equation
Amlan K Halder, Rajeswari Seshadri, R Sinuvasan +1
Symmetry analysis of Ramanujan's system of differential equations is performed by representing it as a third-order equation. A new system consisting of a second-order and a first-o…
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…
Algebraic Properties for Certain Form of the Members of Sequence on Generalized Modified Camassa-Holm Equation
K Krishnakumar, A Durga Devi, V Srinivasan +1
We study the symmetry and integrability of a Generalized Modified Camassa-Holm Equation (GMCH) of the form $$u_{t}-u_{xxt}+2nu_{x}(u^2-u_{x}^2)^{n-1}(u-u_{xx})^2+(u^2-u_{x}^2)^{n}(…