Two-Dimensional Toda-Heisenberg Lattice

Abstract

We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy, and derive its N-soliton solutions.

References in corpus (2)

• Functional representation of the Ablowitz-Ladik hierarchy. II
• Hirota's method and the search for integrable partial difference equations. 1. Equations on a 3x3 stencil