Singularity analysis of a spherical Kadomtsev-Petviashvili equation

Details Singularity analysis of a spherical Kadomtsev-Petviashvili equation Singularity analysis of a spherical Kadomtsev-Petviashvili equation

2004-04-19

arxiv.org/abs/nlin/0404037v3

J. Phys. Soc. Jpn. 74 (2005) 505-507

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

10.1143/JPSJ.74.505

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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