Integrable semi-discretization of the massive Thirring system in laboratory coordinates
Exactly Solvable and Integrable Systems
2019-05-22 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
Several integrable semi-discretizations are known in the literature for the massive Thirring system in characteristic coordinates. We present for the first time an integrable semi-discretization of the massive Thirring system in laboratory coordinates. Our approach relies on the relation between the continuous massive Thirring system and the Ablowitz-Ladik lattice. The Backlund transformation for solutions to the Ablowitz-Ladik lattice and the time evolution of the massive Thirring system in laboratory coordinates are combined together in the derivation of the Lax system for the integrable semi-discretization of the massive Thirring system.
Keywords
Cite
@article{arxiv.1805.07854,
title = {Integrable semi-discretization of the massive Thirring system in laboratory coordinates},
author = {Nalini Joshi and Dmitry E. Pelinovsky},
journal= {arXiv preprint arXiv:1805.07854},
year = {2019}
}
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10 pages, 0 figures