Solitons of a vector model on the honeycomb lattice
Exactly Solvable and Integrable Systems
2016-11-29 v1 Mathematical Physics
math.MP
Abstract
We study a simple nonlinear vector model defined on the honeycomb lattice. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear difference equation and the Ablowitz-Ladik system. This result is used to derive the N-soliton solutions.
Cite
@article{arxiv.1610.03242,
title = {Solitons of a vector model on the honeycomb lattice},
author = {V. E. Vekslerchik},
journal= {arXiv preprint arXiv:1610.03242},
year = {2016}
}