Question: how to solve Curl(A)=B?

hi

I have got an eq: Curl(A)=B;

Both A and B are vectors,  for example,             

A(x,y,z):=Ax(x,y,z) _i+Ay(x,y,z) _j+Az(x,y,z) _k;
B(x,y,z):=Bx(x,y,z) _i+By(x,y,z) _j+Bz(x,y,z) _k;

can I get A as a funtion of B? if I can, how to deal with it, and if not, what other known conditions should be added to solve it?

any help would be appreciated@。@

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