On soliton solutions of the time-discrete generalized lattice Heisenberg magnet model

TL;DR

This paper investigates a time-discrete version of the generalized lattice Heisenberg magnet model, revealing its integrable structure and explicit soliton solutions, which are important for understanding magnetic excitations with arbitrary spin.

Contribution

It introduces a time-discrete formulation of the generalized lattice Heisenberg magnet model and derives its Lax pair, Darboux transformation, and explicit soliton solutions.

Findings

Explicit soliton solutions for the time-discrete GLHM model

Identification of the integrable structure via Lax pair and Darboux transformation

Potential applications in modeling magnetic materials with arbitrary spin

Abstract

Generalized lattice Heisenberg magnet model is an integrable model exhibiting soliton solutions. The model is physically important for describing the magnon bound states (or soliton excitations) with arbitrary spin, in magnetic materials. In this paper, a time-discrete generalized lattice Heisenberg magnet (GLHM) model is investigated. By writing down the Lax pair representation of the time-discrete GLHM model, we present explicitly the underlying integrable structure like, the Darboux transformation and soliton solutions.