Alternative integrable discretisation of Korteweg de Vries equation
Exactly Solvable and Integrable Systems
2015-08-24 v2
Abstract
We present an alternative integrable discretization of differential-difference KdV equation based on Hirota bilinear formalism. It is shown that using two tau functions the direct discretisation of the bilinear equations gives immediately the well known discrete KdV equation. We comment also on integrability and relation with the classical bilinear form involving only one tau function.
Keywords
Cite
@article{arxiv.1508.04654,
title = {Alternative integrable discretisation of Korteweg de Vries equation},
author = {Nicoleta-Corina Babalic and A. S. Carstea},
journal= {arXiv preprint arXiv:1508.04654},
year = {2015}
}
Comments
This paper has been withdrawn by the author due to the lack of complexity. This is one of my first published articles (2011) and it does not have the complexity of my present work so please accept my withdrawal. It was a mistake submitting it to arXiv