Vv. Konotop et al., DYNAMICS AND INTERACTION OF SOLITONS ON AN INTEGRABLE INHOMOGENEOUS LATTICE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(1), 1993, pp. 563-568
We discuss different aspects of one-soliton and multisoliton dynamics
governed by the lattice equation ipsi(n) + (psi(n-1) + psi(n+1))(1 + \
psi(n)\2)-2gamma(t)npsi(n) = 0. We propose reduction of this equation,
drastically simplifying its treatment by means of the inverse scatter
ing technique.