  This paper is concerned with the traveling wave solutions for
integro-difference systems of higher order. By using Schauder fixed point
theorem, the existence of traveling wave solutions is reduced to the existence
of generalized upper and lower solutions. Then the asymptotic behavior of
traveling wave solutions is studied by the idea of contracting rectangles. To
illustrate our results, the traveling wave solutions of three systems are
considered, which completes some known results.
