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We systematically analyze supersymmetric D-branes in the type IIB plane wavebackground using Green-Schwarz superstring theory. We find several newsupersymmetric oblique and curved D-branes. The supersymmetries preserved byvarious configurations of these D-branes including their intersections are alsoidentified. In particular, we show that $D_+$-branes of type (+,-,n,n) forn=1,2,3,4 preserve 4 dynamical supersymmetries by introducing gauge fieldexcitations and newly discovered oblique D5- and D7-branes also preserve fouror two dynamical supersymmetries with gauge field condensates. Furthermore wefind new curved D-branes preserving four dynamical supersymmetries.Comment: 33 pages, 4 tables, JHEP style, v3: title changed and slightly  extended. to appear in JHE

A Complete Classification of D-branes in Type IIB Plane Wave Background