Solutions of the factorization equations from Toda field theory

We apply the quantum inverse scattering method to a discretization of the generalized Toda field theory. In this way we get a family of solutions of the factorization equations. These solutions provide (i) a solvable many particle system with different types of particles interacting via non-relativistic complex potentials; (ii) a presumably solvable generalization of the six-vertex model in a planar lattice.