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Singularity analysis of a spherical Kadomtsev-Petviashvili equation

Ayse Karasu-Kalkanli·Sergei Yu. Sakovich
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Abstract

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 resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1+1)-dimensional reduction, which is detected by the Weiss method of truncated singular expansions.

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Ayse Karasu-Kalkanli, Sergei Yu. Sakovich. 2004-07-20. Singularity analysis of a spherical Kadomtsev-Petviashvili equation. https://doi.org/10.1143/jpsj.74.505

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