Solitons of a vector model on the honeycomb lattice

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.

References in corpus (1)

• Explicit solutions for a nonlinear model on the honeycomb and triangular lattices

Cited by in corpus (2)

• Solitons of a simple nonlinear model on the cubic lattice
• Solitons of the vector KdV and Yamilov lattices