Structure-preserving integrators for the Benjamin-type equations
Numerical Analysis
2015-07-31 v1
Abstract
The numerical integration of the Benjamin and Benjamin--Ono equations are considered. They are non-local partial differential equations involving the Hilbert transform, and due to this, so far quite few structure-preserving integrators have been proposed. In this paper, a new reformulation of the equations is stated, and new structure-preserving discretizations are proposed based on it. Numerical experiments confirm the effectiveness of the proposed integrators.
Cite
@article{arxiv.1507.08359,
title = {Structure-preserving integrators for the Benjamin-type equations},
author = {Kimiaki Kinugasa and Yuto Miyatake and Takayasu Matsuo},
journal= {arXiv preprint arXiv:1507.08359},
year = {2015}
}