Browsing Faculty of Natural and Agricultural Sciences by Subject "Lie symmetries"
Now showing items 1-4 of 4
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Group analysis of a hyperbolic Lane-Emden system
(Elsevier, 2017)In this paper we carry out a complete Noether and Lie group classification of the radial form of a coupled system of hyperbolic equations. From the Noether symmetries we establish the corresponding conserved vectors. We ... -
On the symmetry analysis and conservation laws of the (1 + 1)-dimensional Hénon-Lane-Emden system
(Wiley, 2017)We carry out a complete Lie symmetry analysis and Noether symmetry classification of the (1 + 1)?dimensional H urn:x-wiley:mmma:media:mma4076:mma4076-math-0004non-Lane-Emden system. It is shown that the principal Lie ... -
Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations
(Elsevier, 2016)In this paper we consider a damped externally excited Korteweg-de Vries (KdV) equation with a forcing term. We derive the classical Lie symmetries admitted by the equation. We then find that the damped externally excited ... -
Symmetry analysis and conservation laws for a coupled (2 + 1)-dimensional hyperbolic system
(Elsevier, 2015)This paper aims to perform Lie symmetry analysis and Noether symmetry classification of a coupled (2 + 1)-dimensional hyperbolic system. In the Lie analysis, the principal Lie algebra which is six dimensional extends in ...