73 citations · 193 across the 13 of their papers we have counts for
14 papers
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…
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…
The Ermakov-Pinney Equation: its varied origins and the effects of the introduction of symmetry-breaking functions
Richard Michael Morris, Peter Gavin Lawrence Leach
The Ermakov-Pinney Equation, has a varied provenance which we briefly delineate. We introduce time-dependent functions in place of the and…
Symmetry analysis and algebraic structures of the Hu-Paz-Zhang Master Equation
Richard M. Morris, Peter G. L. Leach
We apply the Lie Theory of continuous groups to investigate the symmetries of the Hu-Paz-Zhang Master Equation which arises in the modelling of the interaction of a harmonic oscill…
Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity
K. M. Tamizhmani, K. Krishnakumar, P. G. L. Leach
We examine the reductions of the order of certain third- and second-order nonlinear equations with arbitrary nonlinearity through their symmetries and some appropriate transformati…
Quasi-Lie schemes and Emden--Fowler equations
J. F. Cariñena, P. G. L. Leach, J. de Lucas
The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisa…