**PDE symmetry analysis in Maple 11 and exactly solvable models
**

**Abstract:**

I will present an algorithm that uses built-in and external Maple 11 packages to analyse symmetries of
non-linear partial differential equations (PDEs).

It will be shown how the algorithm can be applied to find exact analytical solutions to several non-linear PDEs used in
Physics and Financial Mathematics, such as the Navier-Stokes and the Bellman equations.