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Singularity Analysis of a Variant of the Painlev{é}--Ince Equation
Amlan K Halder, Andronikos Paliathanasis, PGL Leach
We examine by singularity analysis an equation derived by reduction using Lie point symmetries from the Euler--Bernoulli Beam equation which is the Painlevé--Ince Equation with add…
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,…
Cheng Equation: A Revisit Through Symmetry Analysis
Amlan K Halder, R Sinuvasan, A Paliathanasis +1
The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is give…