WIAS Preprint No. 1134, (2006)
On the propagation of vector ultra-short pulses
- Pietrzyk, Monika
- Kanattšikow, Igor
- Bandelow, Uwe
2010 Mathematics Subject Classification
- 37K10 78A60 35Q60 35Q51
2008 Physics and Astronomy Classification Scheme
- 02.30.lk 42.65.-k 42.81.Gs
- ultra-short optical pulses, short pulse equation, integrable systems, Manakov equation, birefringence
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.
- J. Nonlinear Math. Phys., 15 (2008) pp. 162-170.