English

Nonlocal massive Thirring model and its solutions

Exactly Solvable and Integrable Systems 2025-08-06 v1

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.

Keywords

Cite

@article{arxiv.2508.03581,
  title  = {Nonlocal massive Thirring model and its solutions},
  author = {Cong-han Wang and Shu-zhi Liu and Jing Wang and Da-jun Zhang},
  journal= {arXiv preprint arXiv:2508.03581},
  year   = {2025}
}

Comments

30 pages

R2 v1 2026-07-01T04:35:25.718Z