124 citations
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nlin.SI2004★ 5 cited
Singularity analysis of a spherical Kadomtsev-Petviashvili equation
Ayse Karasu-Kalkanli, Sergei Yu. Sakovich
The (2+1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314:479-483 (2003)] fails the Painleve test for integrability at the highest reson…
nlin.SI2002★ 25 cited
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…