2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80712The (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.7 pagesExactly Solvable and Integrable SystemsMathematical PhysicsAnalysis of PDEsPlasma Physicstext