The unique solution of stochastic differential equations with   independent coefficients
  SDE's must be solved in the "anti-Ito" sense when their coefficients are independent. While the "noise-induced drift" matters for the sample paths, it is absent in the Fokker-Planck equation, which takes a particularly simple form and is invariant under changes of the variables. Pure noise yields martingale solutions. 
Dietrich Ryter
math-ph math.MP