  A set of infinitely many nonlocal conservation laws are revealed for
(1+1)-dimensional evolution equations. For some special known integrable
systems, say, the KdV and Dym equations, it is found that different nonlocal
conservation laws can lead to same new integrable systems via reciprocal
transformation. On the other hand, it can be considered as one solution of the
new model obtained via reciprocal transformation(s) can be changed to different
solutions of the original model. The fact indicates also that two or more
different (local and nonlocal) conservation laws can be used to find implicit
auto-B\"acklund transformations via reciprocal transformation to other systems.
