On the Polysymplectic Integrator for the Short Pulse Equation
Mathematical Physics
2015-12-31 v1 math.MP
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.
Cite
@article{arxiv.1512.09105,
title = {On the Polysymplectic Integrator for the Short Pulse Equation},
author = {Monika E. Pietrzyk and Igor V. Kanatchikov},
journal= {arXiv preprint arXiv:1512.09105},
year = {2015}
}
Comments
11 pages, 3 figures