(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe
A two component vector generalization of
the Schäfer-Wayne short pulse
equation which describes propagation of ultra-short pulses in optical fibers
with Kerr nonlinearity beyond the slowly varying envelope approximation and
takes into account the effects of anisotropy and polarization is presented.
As a special case, the integrable two-component short pulse equations are
constructed which represent the counterpart of the Manakov system in the case
of ultra-short pulses.
