  We discover multipole-mode solitons supported by the surface between two
distinct periodic lattices imprinted in Kerr-type nonlinear media. Such
solitons are possible because the refractive index modulation at both sides of
the interface glues together their out-of-phase individual constituents.
Remarkably, we find that the new type of solitons may feature highly asymmetric
shapes and yet they are stable over wide domains of their existence, a rare
property to be attributed to their surface nature.
