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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…
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,…
Noether's Theorem and Symmetry
A. K. Halder, Andronikos Paliathanasis, P. G. L. Leach
In Noether's original presentation of her celebrated theorm of 1918 allowance was made for the dependence of the coefficient functions of the differential operator which generated…