108 citations · 530 across the 20 of their papers we have counts for
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Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair
A Karasu, S Yu Sakovich, I Yurdusen
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 tech…
Higher Dimensional Metrics of Colliding Gravitational Plane Waves
Metin Gurses, Emre O. Kahya, Atalay Karasu
We give a higher even dimensional extension of vacuum colliding gravitational plane waves with the combinations of collinear and non-collinear polarized four-dimensional metric. Th…
A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations
Ayse Karasu, Atalay Karasu, S. Yu. Sakovich
A recursion operator is constructed for a new integrable system of coupled Korteweg - de Vries equations by the method of gauge-invariant description of zero-curvature representati…