N. Joshi and D.E. Pelinovsky
Integrable semi-discretization of the massive Thirring
system in laboratory coordinates
J. Phys. Math. Theor. 52, 03LT01 (12pp) (2019)
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:
Massive Thirring Model, integrable semi-discretization, Ablowitz-Ladik lattice,
Backlund transformation