Nonlocal massive Thirring model and its solutions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909723682406400 |
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| author | Wang, Cong-han Liu, Shu-zhi Wang, Jing Zhang, Da-jun |
| author_facet | Wang, Cong-han Liu, Shu-zhi Wang, Jing Zhang, Da-jun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03581 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlocal massive Thirring model and its solutions Wang, Cong-han Liu, Shu-zhi Wang, Jing Zhang, Da-jun Exactly Solvable and Integrable Systems 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. |
| title | Nonlocal massive Thirring model and its solutions |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2508.03581 |