WIAS Preprint No. 1278, (2007)

Multisymplectic analysis of the short pulse equation



Authors

  • Pietrzyk, Monika
  • Kanattšikow, Igor

2010 Mathematics Subject Classification

  • 37K10 78A60 35Q60 35Q51

2008 Physics and Astronomy Classification Scheme

  • 02.30.lk, 42.65.-k, 42.81.Gs

Keywords

  • Multisymplectic formalism, multisymplectic integrator, Short Pulse Equation, ultrashort pulses, nonlinear optics

Abstract

The multisymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric multisymplectic integrator of it. A brief comparison of its effectiveness relative to the pseudo-spectral integration scheme is presented.

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