%0 Journal Article
%T On integrability of the vector short pulse equation
%A Sergei Sakovich
%J Mathematics
%D 2008
%I arXiv
%R 10.1143/JPSJ.77.123001
%X Using 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.
%U http://arxiv.org/abs/0801.3179v2