Singularity analysis of spherical Kadomtsev-Petviashvili equation

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 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 found by the method of truncated singular expansion.


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Citation Formats
E. A. Karasu, “Singularity analysis of spherical Kadomtsev-Petviashvili equation,” JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, pp. 505–507, 2005, Accessed: 00, 2020. [Online]. Available: