A multidimensionally consistent version of Hirota's discrete KdV equation
Exactly Solvable and Integrable Systems
2015-06-03 v1
Abstract
A multidimensionally consistent generalisation of Hirota's discrete KdV equation is proposed, it is a quad equation defined by a polynomial that is quadratic in each variable. Soliton solutions and interpretation of the model as superposition principle are given. It is discussed how an important property of the defining polynomial, a factorisation of discriminants, appears also in the few other known discrete integrable multi-quadratic models.
Cite
@article{arxiv.1112.6205,
title = {A multidimensionally consistent version of Hirota's discrete KdV equation},
author = {James Atkinson},
journal= {arXiv preprint arXiv:1112.6205},
year = {2015}
}
Comments
11 pages, 2 figures