Nonlocal symmetry and generation of solutions for inhomogeneous Burgers equation

Abstract:
In the present paper we consider a class of inhomogeneous Burgers equations. Nonlocal transformations of a dependent variable that establish relations between various equations of this class were constructed. We identified  the subclass of the equations, invariant under the appropriate substitution. The formula of nonlocal superposition for the inhomogeneous Burgers equation was constructed. We also present examples of generation of  solutions.