Emine Ayşe Karasu

E-mail

akarasu@metu.edu.tr

Department

Department of Physics

ORCID

0000-0002-3709-7761

Web of Science Researcher ID

B-1642-2008

Nonlocal symmetries and integrable ordinary differential equations: xuml+3xx center dot+x(3)=0 and its generalizations Karasu, Emine Ayşe (AIP Publishing, 2009-07-01) The equation xuml+3xx center dot+x(3)=0 is well known in many areas of mathematics and physics. It possesses the algebra sl(3,R) of Lie point symmetries, hence is equivalent to the equation for a free particle, and both le...
Singularity analysis of spherical Kadomtsev-Petviashvili equation Karasu, Emine Ayşe (Physical Society of Japan, 2005-02-01) The (2 + 1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314 (2003) 479] fails the Painleve test for integrability at the highest resonance, where a nontrivial compatibility condi...
Ermakov's Superintegrable Toy and Nonlocal Symmetries Leach, P. G. L.; Karasu, Emine Ayşe; Nucci, M. C.; Andriopoulos, K. (SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2005-01-01) 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 number of point symmetries is insufficie...
Integrability of a nonautonomous coupled KdV system Karasu, Emine Ayşe (2004-06-01) The Painleve property of coupled, nonautonomous Korteweg-de Vries (KdV) type of systems is studied. The conditions under which the systems pass the Painleve test for integrability axe obtained. For some of the integrable c...
The Lie algebra sl(2,R) and so-called Kepler-Ermakov systems Leach, PGL; Karasu, Emine Ayşe (Informa UK Limited, 2004-05-01) A recent paper by Karasu (Kalkanli) and Yildirim (Journal of Nonlinear Mathematical Physics 9 (2002) 475-482) presented a study of the Kepler-Ermakov system in the context of determining the form of an arbitrary function i...
Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair Karasu, Emine Ayşe; Yurdusen, I (AIP Publishing, 2003-04-01) The integrability of a coupled KdV-mKdV system is tested by means of singularity analysis. The true Lax pair associated with this system is obtained by the use of prolongation technique. (C) 2003 American Institute of Phys...
On the Lie symmetries of Kepler-Ermakov systems Karasu, Emine Ayşe (Informa UK Limited, 2002-11-01) In this work, we study the Lie-point symmetries of Kepler-Ermakov systems presented by C Athorne in J. Phys. A24 (1991), L1385-L1389. We determine the forms of arbitrary function H (x,y) in order to find the members of thi...
On soliton solutions of nonlinear sigma models of symmetric spaces Karasu, Emine Ayşe (2001-10-30) The inverse scattering transform technique of Belinskii-Zakharov for the integration of nonlinear sigma model equations is reviewed. N-soliton solutions of the principal chiral field equations axe given. The explicit two-c...
Prolongation algebra and Backlund transformations of Drinfeld-Sokolov system of equations Karasu, Emine Ayşe (2001-10-20) We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The closure process for prolongation algebra gives rise to the sl(4, c) algebra which is used to derive the scattering problem ...
Backlund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations Karasu, Emine Ayşe (IOP Publishing, 2001-09-14) Using the Weiss method of truncated singular expansions, we construct an explicit Backlund transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself. Then we find all the special solutions generated by this ...

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