Two-Dimensional Toda-Heisenberg Lattice
Exactly Solvable and Integrable Systems
2013-06-13 v2 Mathematical Physics
math.MP
Abstract
We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy, and derive its N-soliton solutions.
Keywords
Cite
@article{arxiv.1302.0637,
title = {Two-Dimensional Toda-Heisenberg Lattice},
author = {Vadim E. Vekslerchik},
journal= {arXiv preprint arXiv:1302.0637},
year = {2013}
}