  If a scalar field theory in (1+1) dimensions possesses soliton solutions
obeying first order BPS equations, then, in general, it is possible to find an
infinite number of related field theories with BPS solitons which obey closely
related BPS equations. We point out that this fact may be understood as a
simple consequence of an appropriately generalised notion of self-duality. We
show that this self-duality framework enables us to generalize to higher
dimensions the construction of new solitons from already known solutions. By
performing simple field transformations our procedure allows us to relate
solitons with different topological properties. We present several interesting
examples of such solitons in two and three dimensions.
