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arXiv · 1512.09105

On the Polysymplectic Integrator for the Short Pulse Equation

Monika E. Pietrzyk·Igor V. Kanatchikov
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Abstract

The polysymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric polysymplectic integrator for it. The proposed scheme turns out to be much more effective than other standard integration schemes for nonlinear PDEs, such as the pseudo-spectral integrator. In our numerical experiments the polysymplectic integrator appears to be an order of magnitude more precise and approximately 2.5 times faster at long propagation times than the pseudo-spectral method.

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Monika E. Pietrzyk, Igor V. Kanatchikov. 2015-12-30. On the Polysymplectic Integrator for the Short Pulse Equation. https://arxiv.org/abs/1512.09105

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