abstract: We are going to discuss on a characterization of dierent (weak) continuous solutions of Burgers' equation and functions which induce intrinsic \(C^1\) and Lipschitz graphs in the rst Heisenberg group \(H^1 \equiv R^3\), endowed with its standard Sub-Riemanniam metric structure, named also of Carnot-Carathéodory . We will also extend the characterization to higher Heisenberg groups \(H^n \equiv R^{2n+1}\).