2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174825Using the Painleve analysis preceded by appropriate transformations of nonlinear systems under investigation, we discover two new cases in which the Pietrzyk-Kanattsikov-Bandelow vector short pulse equation must be integrable due to the results of the Painleve test. Those cases are technologically important because they correspond to the propagation of polarized ultra-short light pulses in usual isotropic silica optical fibers.10 pagesExactly Solvable and Integrable SystemsMathematical PhysicsAnalysis of PDEsOpticstext