78 citations · 410 across the 31 of their papers we have counts for
Showing 2010Show all
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math.AP2010★ 1 cited
Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions
Stephen C. Anco, S. Ali, Thomas Wolf
A symmetry group method is used to obtain exact solutions for a semilinear radial heat equation in dimensions with a general power nonlinearity. The method involves an ansatz…
math.CA2010★ 21 cited
Linearizability Criteria for Systems of Two Second-Order Differential Equations by Complex Methods
S. Ali, F. M. Mahomed, Asghar Qadir
Lie's linearizability criteria for scalar second-order ordinary differential equations had been extended to systems of second-order ordinary differential equations by using geometr…
math.CA2010★ 1 cited
Two-dimensional Systems that Arise from the Noether Classification of Lagrangians on the Line
M. U. Farooq, S. Ali, Fazal M. Mahomed
The Noether-like operators that play an essential role in writing down the invariants for systems of two ordinary differential equations (ODEs) are constructed. The classification…