38 citations · 139 across the 18 of their papers we have counts for
Showing 1999 · solv-intShow all
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solv-int1999★ 19 cited
On the equivalence of the discrete nonlinear Schrödinger equation and the discrete isotropic Heisenberg magnet
Tim Hoffmann
The equivalence of the discrete isotropic Heisenberg magnet (IHM) model and the discrete nonlinear Schrödinger equation (NLSE) given by Ablowitz and Ladik is shown. This is used to…
solv-int1999★ 33 cited
Factorization dynamics and Coxeter-Toda lattices
Tim Hoffmann, Johannes Kellendonk, Nadja Kutz +1
It is shown that the factorization relation on simple Lie groups with standard Poisson Lie structure restricted to Coxeter symplectic leaves gives an integrable dynamical system. T…