The M2-brane Solution of Heterotic M-theory with the Gauss-Bonnet R^2 terms

We consider the effective action of M-theory compactified on a S^1/Z_2 orbifold with R^2 interaction in the Gauss-Bonnet combination. We derive equations of motion with source terms arising from the Gauss-Bonnet terms and find the M2-brane solution up to order \kappa^{2/3}. It receives a correction which depends on the orbifold coordinate in the same form as the gauge 5-brane solution.