Solitons of a vector model on the honeycomb lattice

TL;DR

This paper introduces a nonlinear vector model on the honeycomb lattice, develops a bilinearization method, and derives N-soliton solutions by connecting it to known integrable systems.

Contribution

It presents a novel bilinearization scheme for a vector model on the honeycomb lattice and links it to established integrable models to find soliton solutions.

Findings

Derived N-soliton solutions for the vector model.

Established connection to Hirota bilinear difference equation.

Linked the model to the Ablowitz-Ladik system.

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.