  We construct some new brane solutions in M-theory, based on the minimal
surfaces. In particular, we consider the anti-self-dual Nutku geometry, and
embed it in the membranes and five-branes of the eleven-dimensional
supergravity. We explicitly show that the solutions preserve eight
supersymmetries. Upon compactification on a circle, we find fully localized
intersecting brane systems. We also discuss the T-dual and the decoupling
limits of the solutions.
