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21 papers · 1 filter
Variation of Galactic Bar Length with Amplitude and Density as Evidence for Bar Growth over a Hubble Time
Bruce G. Elmegreen, Debra Meloy Elmegreen, Johan H. Knapen +3
K_s-band images of 20 barred galaxies show an increase in the peak amplitude of the normalized m=2 Fourier component with the R_25-normalized radius at this peak. This implies that…
Constructing a Space from the System of Geodesic Equations
E. Fredericks, F. M. Mahomed, E. Momoniat +1
Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed. A…
Conditional linearizability criteria for a system of third-order ordinary differential equations
F. M. Mahomed, I. Naeem, Asghar Qadir
We provide linearizability criteria for a class of systems of third-order ordinary differential equations (ODEs) that is cubically semi-linear in the first derivative, by different…
Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations
S. Ali, F. M. Mahomed, Asghar Qadir
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables. It is shown that…
Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - I: Ordinary Differential Equations
S. Ali, F. M. Mahomed, Asghar Qadir
The Lie linearizability criteria are extended to complex functions for complex ordinary differential equations. The linearizability of complex ordinary differential equations is us…
Giant Gravitons - with Strings Attached (III)
David Bekker, Robert de Mello Koch, Michael Stephanou
We develop techniques to compute the one-loop anomalous dimensions of operators in the super Yang-Mills theory that are dual to open strings ending on boundstates of s…