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Lie Symmetry Analysis and Similarity Solutions for the Jimbo-Miwa Equation and Generalisations
Amlan K Halder, Andronikos Paliathanasis, Rajeswari Seshadri +1
We study the Jimbo-Miwa equation and two of its extended forms, as proposed by Wazwaz et al, using Lie's group approach. Interestingly, the travelling-wave solutions for all the th…
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…