Volume 15, Issue 2, August 2008, Pages 162 - 170
On the propagation of vector ultra-short pulses
Monika PIETRZYK 0, I. KANATTSIKOV 1, Uwe BANDELOW 2
0Weierstrass-Institut f ?ur Angewante Analysis und Stochastik,
1Institut f ?ur Theoretische Physik, TU Berlin
2Weierstraß-Institut f ?ur Angewante Analysis und Stochastik
Received 14 September 2007, Accepted 10 January 2008, Available Online 1 August 2008.
- https://doi.org/10.2991/jnmp.2008.15.2.4How to use a DOI?
- A two component vector generalization of the Sch ?afer-Wayne short pulse equation is derived. It 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. We show that in a special case this system gives rise to three different integrable two-component short pulse equations which represent the counterpart of the Manakov system in the case of ultra-short pulses.
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Cite this article
TY - JOUR AU - Monika PIETRZYK AU - I. KANATTSIKOV AU - Uwe BANDELOW PY - 2008 DA - 2008/08 TI - On the propagation of vector ultra-short pulses JO - Journal of Nonlinear Mathematical Physics SP - 162 EP - 170 VL - 15 IS - 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.2.4 DO - https://doi.org/10.2991/jnmp.2008.15.2.4 ID - PIETRZYK2008 ER -