Summary: A general formalism for the study of excitations above equilibrium in models solvable by the Bethe ansatz is presented. Nonzero temperature expressions for dressed energy, momentum, spin and charge are obtained. The zero temperature excitations of the Hubbard-Shastry models are examined in detail, and special attention is paid to the dressing of spin and charge of excited quasi-particles. These are in general momentum dependent and are only spin-charge separated when the ground state is half-filled and has zero magnetization.