We will study the symmetry, invariance properties and conservation laws of partial dif
ferential equations (pdes) that arise in a number of situations in mathematical physics.
These will be range from Image Processing and noise removal algorithms to Timoshenko
beam systems. Furthermore, we will study the invariance properties and approximate
conservation laws of some nonlinear Schro¨dinger equation with PT-symmetric potentials
with inhomogeneous nonlinearity and some nonlinear Schro¨dinger equation involving a
spatially extended system consisting of two coupled elements.