Explicit solutions for a nonlinear model on the honeycomb and triangular lattices
Exactly Solvable and Integrable Systems
2016-11-29 v1 Mathematical Physics
math.MP
Abstract
We study a simple nonlinear model defined on the honeycomb and triangular lattices. 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 two sets of explicit solutions: the N-soliton solutions and ones constructed of the Toeplitz determinants.
Cite
@article{arxiv.1606.06470,
title = {Explicit solutions for a nonlinear model on the honeycomb and triangular lattices},
author = {V. E. Vekslerchik},
journal= {arXiv preprint arXiv:1606.06470},
year = {2016}
}