Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct Zakharov-Shabat Problem
Numerical Analysis
2019-05-22 v1
Abstract
We propose a new high-precision algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and is a generalization of the second order Boffetta-Osborne scheme. It is allowed by our method to solve more effectively the Zakharov-Shabat spectral problem for continuous and discrete spectra.
Cite
@article{arxiv.1902.09736,
title = {Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct Zakharov-Shabat Problem},
author = {Sergey Medvedev and Irina Vaseva and Igor Chekhovskoy and Mikhail Fedoruk},
journal= {arXiv preprint arXiv:1902.09736},
year = {2019}
}