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arXiv · 1805.07854

Integrable semi-discretization of the massive Thirring system in laboratory coordinates

Nalini Joshi·Dmitry E. Pelinovsky
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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.

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Nalini Joshi, Dmitry E. Pelinovsky. 2018-05-21. Integrable semi-discretization of the massive Thirring system in laboratory coordinates. https://doi.org/10.1088/1751-8121%2Faaf2c2

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