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

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.

arXiv comment10 pages, 0 figures

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Cited by in corpus (3)

• Darboux transformation and soliton solutions of the semi-discrete massive Thirring model
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• General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions