Transformation properties of a variable-coefficient Burgers equation

In this paper we consider the variable coefficient equation ut=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised equation. In particular, we classify the Lie classical symmetries, the nonclassical symmetries, the potential symmetries, point and potential form preserving transformations. Finally, using these transformations we give examples of exact solutions.