Supergravity Solutions for Localised Brane Intersections

We present a general method for constructing supergravity solutions for intersecting branes. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. We illustrate this procedure in detail for the case of M2-branes ending on M5-branes. We also present supergravity solutions for strings ending on Dp-branes. Unlike previous results in the literature, these branes are completely localized.