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Emine Ayşe Karasu

Department of Physics
Singularity analysis of spherical Kadomtsev-Petviashvili equation
Karasu, Emine Ayşe; Sakovich, S (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...
Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair
Karasu, Emine Ayşe; Sakovich, SY; 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...
About geometrization of the dynamics
Baleanu, D; Karasu, Emine Ayşe; Makhaldiani, N (Springer Science and Business Media LLC, 2000-01-01)
The connection between Killing tensors and Lax operators are presented. The Toda lattice case and the Rindler system are analyzed in details.
The Burgers-Hlavaty equation
Karasu, Emine Ayşe (1997-10-01)
We study the prolongation stucture of a Painleve admissible extension of Burgers equation containing two arbitrary analytic functions obtained by Hlavaty. We also obtain the linear scattering problem through the soliton co...
Painleve classification of coupled Korteweg-de Vries systems
Karasu, Emine Ayşe (1997-07-01)
In this work, we give a classification of coupled Korteweg-de Vries equations. We found new systems of equations that are completely integrable in the sense of Painleve. (C) 1997 American Institute of Physics.
GURSES, M; Karasu, Emine Ayşe (IOP Publishing, 1989-04-01)
The characteristic initial-value problem of the gravitational and N-Maxwell plane wave collision is solved exactly.