WIAS Preprint No. 1134, (2006)

On the propagation of vector ultra-short pulses


  • Pietrzyk, Monika
  • Kanattšikow, Igor
  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347

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.

Appeared in

  • J. Nonlinear Math. Phys., 15 (2008) pp. 162-170.

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