On integrability of the vector short pulse equation

Details On integrability of the vector short pulse equation On integrability of the vector short pulse equation

2008-01-21

arxiv.org/abs/0801.3179v2

J. Phys. Soc. Jpn. 77 (2008) 123001 (4 pages)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

10.1143/JPSJ.77.123001

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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