108 citations · 530 across the 20 of their papers we have counts for
20 papers
Minimal Extension of Einstein's Theory: The Quartic Gravity
Atalay Karasu, Esin Kenar, Bayram Tekin
We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivati…
On Non-Commutative Integrable Burgers Equations
M. Gurses, A. Karasu, R. Turhan
We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and…
A new integrable generalization of the Korteweg - de Vries equation
Ayse Karasu-Kalkanli, Atalay Karasu, Anton Sakovich +2
A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg - de Vries equation with a source. A Lax r…
Gardner's deformations of the Boussinesq equations
Atalay Karasu, Arthemy V. Kiselev
Using the algebraic method of Gardner's deformations for completely integrable systems, we construct the recurrence relations for densities of the Hamiltonians for the Boussinesq a…
Closed timelike curves and geodesics of Godel-type metrics
Reinaldo J. Gleiser, Metin Gurses, Atalay Karasu +1
It is shown explicitly that when the characteristic vector field that defines a Godel-type metric is also a Killing vector, there always exist closed timelike or null curves in spa…
Ermakov's Superintegrable Toy and Nonlocal Symmetries
P. G. L. Leach, A. Karasu, M. C. Nucci +1
We investigate the symmetry properties of a pair of Ermakov equations. The system is superintegrable and yet possesses only three Lie point symmetries with the algebra sl(2,R). The…