An integrable multicomponent quad equation and its Lagrangian formulation
Exactly Solvable and Integrable Systems
2015-06-04 v1
Abstract
We present a hierarchy of discrete systems whose first members are the lattice modified Korteweg-de Vries equation, and the lattice modified Boussinesq equation. The N-th member in the hierarchy is an N-component system defined on an elementary plaquette in the 2-dimensional lattice. The system is multidimensionally consistent and a Lagrangian which respects this feature, i.e., which has the desirable closure property, is obtained.
Cite
@article{arxiv.1204.5521,
title = {An integrable multicomponent quad equation and its Lagrangian formulation},
author = {J. Atkinson and S. B. Lobb and F. W. Nijhoff},
journal= {arXiv preprint arXiv:1204.5521},
year = {2015}
}
Comments
10 pages