The motion of a triple junction is investigated. We consider only the two-d
imensional case and assume that initially the fluid is in the form of three
inviscid wedges. A similarity solution is determined which accounts for a
balance of force at the triple junction. This similarity solution is comput
ed numerically using boundary integral methods. Results are presented for d
ifferent initial wedge angles and surface tension ratios. In particular the
location of the triple junction and the resulting capillary waves along th
e interfaces are discussed.