On an integrable discretization of the massive Thirring model in non-characteristic coordinates

2025/05/12 by Tsuchida, Takayuki
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2505.08027

Abstract

We propose the Lax-pair representation for an integrable semi-discretization (discretization of the spatial variable) of the massive Thirring model in non-characteristic (in between light-cone and laboratory) coordinates and present its N-soliton solution.

Citations

• On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map
• 'Universality' of the Ablowitz-Ladik hierarchy
• A lattice model related to the nonlinear Schroedinger equation
• On the complete integrability of the two-dimensional classical Thirring model

Related

• Integrable discrete massive Thirring model
• On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map
• Massive Thirring Model: Inverse Scattering and Soliton Resolution
• Nonlocal massive Thirring model and its solutions
• Long-time asymptotics for the Massive Thirring model