Nonlocal massive Thirring model and its solutions

TL;DR

This paper introduces a nonlocal extension of the massive Thirring model, derives its solutions including solitons, and explores its relation to the nonlocal Fokas-Lenells equation, expanding the understanding of nonlocal integrable systems.

Contribution

It presents the first formulation of a nonlocal massive Thirring model and derives explicit solutions using bilinear forms and reduction techniques.

Findings

Derived general double Wronskian solutions.

Obtained explicit solutions including solitons and algebraic solitons.

Explored the relation between nonlocal MTM and nonlocal Fokas-Lenells equation.

Abstract

A nonlocal version of the massive Thirring model (MTM) and its solutions are presented. We start from a 4-component system that can be reduced to the classical MTM and nonlocal MTM. Bilinear form of the 4-component system and general double Wronskian solutions are derived. By utilizing reduction technique we obtain solutions of the nonlocal MTM. Relations between the nonlocal MTM and the nonlocal Fokas-Lenells equation is discussed. Some solutions of the nonlocal MTM, such as solitons, double-pole solution, algebraic solitons and high order algebraic solitons are analyzed and illustrated.