Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential
Exactly Solvable and Integrable Systems
2009-11-13 v1 Pattern Formation and Solitons
Abstract
In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with quartic potentials. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.
Cite
@article{arxiv.nlin/0703027,
title = {Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential},
author = {Bao-feng Feng and Ken-ichi Maruno},
journal= {arXiv preprint arXiv:nlin/0703027},
year = {2009}
}