Solutions to the ultradiscrete KdV equation expressed as the maximum of a quadratic function
Exactly Solvable and Integrable Systems
2015-06-15 v1 Mathematical Physics
math.MP
Abstract
We propose the functions defined by the maximum of a discrete quadratic form and satisfying the ultradiscrete KdV equation. These functions includes not only soliton solutions but also pseudo-periodic solutions. In the proof, we employ some facts of discrete convex analysis.
Keywords
Cite
@article{arxiv.1302.1927,
title = {Solutions to the ultradiscrete KdV equation expressed as the maximum of a quadratic function},
author = {Yoichi Nakata},
journal= {arXiv preprint arXiv:1302.1927},
year = {2015}
}
Comments
16 pages, 4 figures