Exponential Fourth Order Schemes for Direct Zakharov-Shabat problem
Numerical Analysis
2020-02-19 v1 Numerical Analysis
Abstract
We propose two finite-difference algorithms of fourth order of accuracy for solving the initial problem of the Zakharov-Shabat system. Both schemes have the exponential form and conserve quadratic invariant of Zakharov-Shabat system. The second scheme contains the spectral parameter in exponent only and allows to apply the fast computational algorithm.
Cite
@article{arxiv.1908.11725,
title = {Exponential Fourth Order Schemes for Direct Zakharov-Shabat problem},
author = {Sergey Medvedev and Irina Vaseva and Igor Chekhovskoy and Mikhail Fedoruk},
journal= {arXiv preprint arXiv:1908.11725},
year = {2020}
}