Integrable discrete massive Thirring model

TL;DR

This paper develops integrable semi- and fully discrete versions of the massive Thirring model using Hirota's bilinear approach and KP reduction, providing multi-bright soliton solutions.

Contribution

It introduces novel discrete integrable models of the massive Thirring equation and constructs explicit multi-bright soliton solutions.

Findings

Successfully formulated semi- and fully discrete models

Constructed multi-bright soliton solutions

Established integrability of the discrete models

Abstract

In this paper, we are concerned with integrable semi- and fully discrete analogues of the massive Thirring model in light core coordinates. By using the Hirota's bilinear approach and the KP reduction method, we propose both the semi- and fully discrete massive Thirring models and construct their multi-bright soliton solutions.