Solitons of a simple nonlinear model on the cubic lattice
Exactly Solvable and Integrable Systems
2017-12-08 v1 Mathematical Physics
math.MP
Abstract
We study a simple nonlinear model defined on the cubic 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 two sets of the N-soliton solutions.
Keywords
Cite
@article{arxiv.1710.08651,
title = {Solitons of a simple nonlinear model on the cubic lattice},
author = {V. E. Vekslerchik},
journal= {arXiv preprint arXiv:1710.08651},
year = {2017}
}