10 citations · 14 across the 6 of their papers we have counts for
6 papers
Noether symmetries and first integrals of damped harmonic oscillator
M. Umar Farooq, M. Safdar
Noether theorem establishes an interesting connection between symmetries of the action integral and conservation laws of a dynamical system. The aim of the present work is to class…
Linearization from complex Lie point transformations
Sajid Ali, Muhammad Safdar, Asghar Qadir
Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension ,…
Invariants for systems of two linear hyperbolic-type equations by complex methods
A. Aslam, M. Safdar, F. M. Mahomed
Invariants of general linear system of two hyperbolic partial differential equations (PDEs) are derived under transformations of the dependent and independent variables by real inf…
Linearization of two dimensional complex-linearizable system of second order ordinary differential equations
Hina M. Dutt, M. Safdar
Complex-linearization of a class of systems of second order ordinary differential equations (ODEs) has already been studied with complex symmetry analysis. Linearization of this cl…
Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis
Muhammad Safdar, Asghar Qadir, Sajid Ali
Five equivalence classes had been found for systems of two second-order ordinary differential equations, transformable to linear equations (linearizable systems) by a change of var…
On the symmetry solutions of two-dimensional systems not solvable by standard symmetry analysis
Sajid Ali, Asghar Qadir, Muhammad Safdar
A class of two-dimensional systems of second-order ordinary differential equations is identified in which a system requires fewer Lie point symmetries than required to solve it. Th…