On integrability of the vector short pulse equation
Exactly Solvable and Integrable Systems
2008-11-25 v2 Mathematical Physics
Analysis of PDEs
math.MP
Optics
Abstract
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.
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Cite
@article{arxiv.0801.3179,
title = {On integrability of the vector short pulse equation},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:0801.3179},
year = {2008}
}
Comments
10 pages