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
DOI
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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